RD Sharma Class 9 Maths Solutions Chapter 3

RD Sharma class 9 maths solutions chapter 3 are prepared by IIT and NIT math experts in the most effective way, keeping the ability of every kind of student in mind. The solutions are prepared to take into consideration the guidelines of Comprehensive and Continuous Evaluation (CCE). This evaluation scheme is an initiative taken by CBSE to enable students to assess and gauge their performance continuously and to take corrective measures, if necessary, to enhance or boost their performance.

RD Sharma Class 9 Maths Chapter 3 Free PDF Solutions

The RD Sharma textbook has 25 chapters, a well-balanced combination of different subjects like arithmetic, algebra, and geometry comprising topics like number system, rationalization, algebraic identities, lines & angles, congruent triangles, probability, etc. The RD Sharma solution undoubtedly gives an extra competitive edge to students for enhancing the rational, analytical thinking ability and scoring higher marks in examinations.

Rationalization is converting the fraction into a form that contains no irrational numbers in the denominator. In other words, rationalization eliminates irrational numbers or radicals, or roots from the denominator.

RD Sharma Class 9 Chapter 3 Rationalisation Exercise 3.10

Rationalization chapter 3 and exercise 3.10 is covered on pages 2 and 3. These solutions are of the problems or questions of chapters present in the RD Sharma textbook. This additional book comprises problems on chapters prescribed in CBSE NCERT textbooks so that students can maintain relevancy & doesn't have a fear of missing out on any chapter.

As one knows, there can be n number of ways to solve a particular math problem, and the same goes with the questions in the RD Sharma textbook. The solutions in the RD Sharma book apply particular concepts and formulas to obtain the result, which may not always match with your technique of solving it. However, it will boost their confidence in solving any unexpected problems they may encounter in exams.

Solutions to RD Sharma class 9 maths solutions chapter 3 exercise 3.10 are as follows.

RD Sharma Class 9 Maths Chapter 3 Exercise 3.10 Solutions

Exercise 3.10 Question 1	Exercise 3.10 Question 3.3
Exercise 3.10 Question 1.2	Exercise 3.10 Question 3.4
Exercise 3.10 Question 2.1	Exercise 3.10 Question 3.5
Exercise 3.10 Question 2.2	Exercise 3.10 Question 4.1
Exercise 3.10 Question 2.3	Exercise 3.10 Question 4.2
Exercise 3.10 Question 3.1	Exercise 3.10 Question 4.3
Exercise 3.10 Question 3.2	-

Question 1

Simplify the Following:

∛4  X  ∛16

Solution 1

Question 1.2

Simplify the Following: 

Solution 1.2

Question 2.1

Simply the following.

(4 + √7) (3 + √2)

Solution 2.1

Question 2.2

Simplify the Following Expressions:

(3 + √3) (5 - √2)

Solution 2.2

Question 2.3

Simplify the Following Expressions:

(√5 - 2) (√3 -  √5)

Solution 2.3

Question 3.1

Simplify the Following Expressions:

(11 + √11) (11 - √11)

Solution 3.1

Question 3.2

Simplify the Following Expressions:

(5 + √7) (5 -  √7)

Solution 3.2

Question 3.3

Simplify the Following Expressions:

(√8 - √2) (√8 + √2)

Solution 3.3

Question 3.4

Simplify the Following Expressions:

(3 + √3) (3 - √3)

Solution 3.4

Question 3.5

Simplify the Following Expressions:

(√5 - √2) (√5 + √2)

Solution 3.5

Question 4.1

Simplify the Following Expressions:

(√3 + √7)²

Solution 4.1

Question 4.2

Simplify the Following Expressions:

(√5 - √3)²

Solution 4.2

Question 4.3

Simplify the Following Expressions:

(2√5 + 3√2)²

Solution 4.3

RD Sharma Class 9 Chapter 3 Rationalisation Exercise 3.20

Mathematics is a subject that most students are afraid of mainly due to the weak establishment of the fundamentals of the subject from the early stages of schooling. However, it is believed to be a crucial subject that plays a key role in shaping up a student's academic career & a strong command over the subject can open up a large number of opportunities & career options like MBBS, Engineering, etc.

Most importantly, R D Sharma solutions have been developed to enhance the student's problem-solving ability.

Solutions to RD Sharma class 9 maths solutions chapter 3 exercise 3.20 are as follows.

RD Sharma Class 9 Maths Chapter 3 Exercise 3.20 Solutions

Question 1.1	Question 3.3	Question 5.3
Question 1.2	Question 3.4	Question 6.1
Question 1.3	Question 3.5	Question 6.2
Question 1.4	Question 3.6	Question 6.3
Question 1.5	Question 3.7	Question 6.4
Question 1.6	Question 3.8	Question 6.5
Question 1.7	Question 3.9	Question 6.6
Question 2.1	Question 4.1	Question 7
Question 2.2	Question 4.2	Question 8.1
Question 2.3	Question 4.3	Question 8.2
Question 2.4	Question 4.4	Question 9.1
Question 2.5	Question 4.5	Question 9.2
Question 2.6	Question 4.6	Question 10
Question 3.1	Question 5.1	Question 11
Question 3.2	Question 5.2	Question 12

Question 1.1

Rationalise the denominator of each of the following:

3/√5

Solution 1.1

Question 1.2

Rationalise the denominator of each of the following:

Solution 1.2

Question 1.3

Rationalise the denominator of each of the following:

Solution 1.3

Question 1.4

Rationalise the denominator of each of the following:

Solution 1.4

Question 1.5

Rationalise the denominator of each of the following:

Solution 1.5

Question 1.6

Rationalise the denominator of each of the following:

Solution 1.6

Question 1.7

Rationalise the denominator of each of the following:

Solution 1.7

Question 2.1

Find the value to three places of decimal of the following. It is given that.

√2 = 1.414, √3 = 1.732, √5 = 2.236 and √10 = 3.162

2/√3

Solution 2.1

Question 2.2

Find the value to three places of decimal of the following. It is given that.

√2 = 1.414, √3 = 1.732, √5 = 2.236 and √10 = 3.162

Find the value of 3/√10.

Solution 2.2

Question 2.3

Find the value to three places of decimal of the following. It is given that.

√2 = 1.414, √3 = 1.732, √5 = 2.236, and √10 = 3.162

Find the value of (√5 + 1)/√2

Solution 2.3

Question 2.4

Find the value to three places of decimal of the following. It is given that.

Solution 2.4

Question 2.5

Find the value to three places of decimal of the following. It is given that.

Solution 2.5

Question 2.6

Find the value to three places of decimal of the following. It is given that.

Solution 2.6

Question 3.1

Express with following with rational denominator:

Solution 3.1

Question 3.2

Express with following with rational denominator:

Solution 3.2

Question 3.3

Express with following with rational denominator:

Solution 3.3

Question 3.4

Express with following with rational denominator:

Solution 3.4

Question 3.5

Express with following with rational denominator:

Solution 3.5

Question 3.6

Express with following with rational denominator:

Solution 3.6

Question 3.7

Express with following with rational denominator:

Solution 3.7

Question 3.8

Express with following with rational denominator:

Solution 3.8

Question 3.9

Express with following with rational denominator:

Solution 3.9

Question 4.1

Rationalise the denominator and simplify.

Solution 4.1

Question 4.2

Rationalise the denominator and simplify:

Solution 4.2

Question 4.3

Rationalise the denominator and simplify

Solution 4.3

Question 4.4

Rationalise the denominator and simplify

Solution 4.4

Question 4.5

Rationales the denominator and simplify:

Solution 4.5

Question 4.6

Rationalise the denominator and simplify:

Solution 4.6

Question 5.1

Simplify:

Solution 5.1

Question 5.2

Simplify:

Solution 5.2

Question 5.3

Simplify:

Solution 5.3

Question 6.1

In the following determine Rational Number a and b,

Solution 6.1

Question 6.2

In the following determine Rational Number a and b

Solution 6.2

Question 6.3

In the following determine Rational Number a and b

Solution 6.3

Question 6.4

In the following determine Rational Number a and b

Solution 6.4

Question 6.5

In the following determine Rational Number a and b

Solution 6.5

Question 6.6

In the following determine Rational Number a and b

Solution 6.6

Question 7

Solution 7

Question 8.1

Find the values the following correct to three places of decimals, it being given that √2 = 1.414, √3 = 1.732, √5 = 2.2360, √6 = 2.4495, and √10 = 3.162.

Solve the following

(3 - √5) / (3 + 2√5)

Solution 8.1

Question 8.2

Solution 8.2

Question 9.1

Solution 9.1

Question 9.2

Solution 9.2

Question 10

If x = 2 + √3, find the value of x2 + (1/x2)

Solution 10

Question 11

If x = 3 + √8, find the value of x2 + (1/x2)

Solution 11

Question 12

If x = (√3 + 1) / 2, find the value of 4x² + 2x² - 8x + 7

Solution 12

RD Sharma Class 9 Chapter 3 Rationalisation Exercise 3.30

RD Sharma Solutions brings great respite to students in this matter in particular. It not only contains solutions to problems ranging from easy to hard, it also presents the solutions in the simplest manner possible for a better understanding of the concepts. Chapter 3 exercise 3.30 is covered on page 16.

Solutions to RD Sharma class 9 maths solutions chapter 3 exercise 3.30 are as follows.

RD Sharma Class 9 Maths Chapter 3 Exercise 3.30 Solutions

Exercise 3.30 Question 1	Exercise 3.30 Question 7
Exercise 3.30 Question 2	Exercise 3.30 Question 8
Exercise 3.30 Question 3	Exercise 3.30 Question 9
Exercise 3.30 Question 4	Exercise 3.30 Question 10
Exercise 3.30 Question 5	Exercise 3.30 Question 11
Exercise 3.30 Question 6	-

Question 1

Write the value of (2 + √3) (2 - √3).

Solution 1

Question 2

Write the reciprocal of 5 + √2.

Solution 2

Question 3

Write the rationalisation factor of 7 - 3√5.

Solution 3

Question 4

If (√3 - 1)/ (√3 + 1) = x + y√3, find the value of x and y.

Solution 4

Question 5

If x = √2 - 1, then write the value of 1/x.

Solution 5

Question 6

If a = √2 + 1, then find the value of a - (1/a).

Solution 6

Question 7

Solution 7

Question 8

Write the rationalisation factor of √5 - 2.

Solution 8

Question 9

Solution 9

Question 10

Solution 10

Question 11

Solution 11

RD Sharma book can be thought of as a supplementary or extension of the original textbook, which students need to go through only after completing the actual NCERT textbook preferably. It contains a wide variety of questions that can be solved & worked upon by students to understand the chapter to help them to confidently face any new out of the book question or problems that may come up in exams.

Note: We encourage the students to stick to the solving technique already applied in the textbook and come up with their solutions.