Rationalise the denominator of 7 14

Rationalising the denominator is when we move a root (like a square root or cube root) from the bottom of a fraction to the top. We have to rationalise the denominator of 7 14 Multiply both numerator and denominator by the rationalising factor 14 . 7 14 = 7 14 × 14 14 = 7 14 14 = 14 2 Thus, the required answer is 14 2

Rationalise the denominator of 5 + 3 5 - 3

Rationalising the denominator is when we move a root (like a square root or cube root) from the bottom of a fraction to the top. We have to rationalise the denominator of 5 + 3 5 - 3 5 + 3 5 - 3 = 5 + 3 5 - 3 × 5 + 3 5 + 3 = 5 + 3 2 5 2 - 3 2 As we know that a + b 2 = a 2 + 2 a b + b 2 = 5 2 + 3 2 + 2 × 5 × 3 25 - 3 = 25 + 3 + 10 3 22 = 28 + 10 3 22 = 2 × 14 + 5 3 22 = 14 + 5 3 11 Thus, the required answer is 14 + 5 3 11

E M B I B E

Mathematics Standard 9>Chapter 2 - Real Numbers>Solved Example

Tamil Nadu Board Solutions for Chapter: Real Numbers, Exercise 27: Solved Example

Author:Tamil Nadu Board

Tamil Nadu Board Mathematics Solutions for Exercise - Tamil Nadu Board Solutions for Chapter: Real Numbers, Exercise 27: Solved Example

Attempt the free practice questions on Chapter 2: Real Numbers, Exercise 27: Solved Example with hints and solutions to strengthen your understanding. Mathematics Standard 9 solutions are prepared by Experienced Embibe Experts.