Solve this 3 + 3 2 + 2

Given: 3 + 3 2 + 2 = 3 2 + 2 + 3 2 + 2 = 3 × 2 + 3 × 2 + 3 × 2 + 3 × 2 = 6 + 3 2 + 2 3 + 6 Hence, the product of 3 + 3 2 + 2 is 6 + 3 2 + 2 3 + 6 .

Solve this 3 2 + 3 2 - 3

Given: 3 2 + 3 2 - 3 Now use the identity a + b a - b = a 2 - b 3 2 + 3 2 - 3 = 3 2 2 - 3 = 3 4 - 3 = 3 × 1 = 3 Hence, the product of 3 2 + 3 2 - 3 is 3 .

Given: 5 + 2 2 Now use the identity a + b 2 = a 2 + 2 a b + b 2 5 + 2 2 = 5 2 + 2 × 5 × 2 + 2 2 = 5 + 2 10 + 2 = 7 + 2 10 Hence, the value of 5 + 2 2 is 7 + 2 10 .

Rationalise the denominator. 1 4 + 5

Given: 1 4 + 5 Square root number cannot be in the denominator, so to remove the square root, we rationalise the denominator. The rationalising factor of 4 + 5 is 4 - 5 . 1 4 + 5 = 1 4 + 5 × 4 - 5 4 - 5 = 4 - 5 4 2 - 5 2 = 4 - 5 16 - 5 = 4 - 5 11

Rationalise the denominator. 1 7 + 4 3

Given: 1 7 + 4 3 Square root number cannot be in the denominator, so to remove the square root, we rationalise the denominator. The rationalising factor of 7 + 4 3 is 7 - 4 3 . So, 1 7 + 4 3 = 1 7 + 4 3 × 7 - 4 3 7 - 4 3 = 7 - 4 3 7 2 - 4 3 2 = 7 - 4 3 49 - 16 × 3 = 7 - 4 3 49 - 48 = 7 - 4 3

Rationalise the denominator. 1 7 + 4 3 + 1 2 + 5

Given: 1 7 + 4 3 + 1 2 + 5 Square root number cannot be in the denominator, so to remove the square root, we rationalise the denominator. The rationalising factor of 7 + 4 3 is 7 - 4 3 and 2 + 5 is 2 - 5 So, 1 7 + 4 3 + 1 2 + 5 = 1 7 + 4 3 × 7 - 4 3 7 - 4 3 + 1 2 + 5 × 2 - 5 2 - 5 = 7 - 4 3 7 2 - 4 3 2 + 2 - 5 2 2 - 5 2 = 7 - 4 3 49 - 16 × 3 + 2 - 5 4 - 5 = 7 - 4 3 49 - 48 + 2 - 5 - 1 = 7 - 4 3 - 2 + 5 = 5 - 4 3 + 5

E M B I B E

Mathematics Class - 9>Algebra>Chapter 2 - Real Numbers (Rational and Irrational Numbers)>Try This

Chhattisgarh Board Solutions for Exercise 14: Try This

Author:Chhattisgarh Board

Chhattisgarh Board Mathematics Solutions for Exercise - Chhattisgarh Board Solutions for Exercise 14: Try This

Attempt the practice questions from Exercise 14: Try This with hints and solutions to strengthen your understanding. Mathematics Class - 9 solutions are prepared by Experienced Embibe Experts.