# Rationalise the denominator of the following: 2/3√3

**Solution:**

Given, 2/3√3

We have to rationalise the denominator.

To rationalise we have to take conjugate,

2/3√3 = 2/3√3 × 3√3/3√3

= 2(3√3)/9(3)

= 2√3/9

Therefore, 2/3√3 = 2√3/9

**✦ Try This: **Rationalise the denominator of the following: 3/2√2

Given, 3/2√2

We have to rationalise the denominator.

To rationalise we have to take conjugate,

3/2√2 = 3/2√2 × 2√2/2√2

= 3(2√2)/4(2)

= 6√2/8

= 3√2/4

Therefore, 3/2√2 = 3√2/4

**☛ Also Check: **NCERT Solutions for Class 9 Maths Chapter 1

**NCERT Exemplar Class 9 Maths Exercise 1.3 Problem 10(i)**

## Rationalise the denominator of the following: 2/3√3

**Summary:**

Rationalizing the denominator means the process of moving a root, for instance, a cube root or a square root from the bottom of a fraction (denominator) to the top of the fraction (numerator). On rationalising the denominator of 2/3√3 we get 2√3/9

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