# 6/√6. Rationalise the denominator and hence evaluate by taking √2 = 1.414, √3 = 1.732 and √5 = 2.236, upto three places of decimal

**Solution:**

Given, the expression is 6/√6

We have to rationalise the denominator and evaluate the given expression.

To rationalise we have to take conjugate,

6/√6 = 6/√6 × √6/√6

= 6√6/6

= √6

= √3 × √2

Given, √2 = 1.414

√3 = 1.732

So, √3 × √2 = 1.732(1.414)

= 2.449

Therefore, 6/√6 = 2.449

**✦ Try This: **Rationalise the denominator of the following and hence evaluate by taking √2 = 1.414, √3 = 1.732 and √5 = 2.236, upto three places of decimal 5/√5

Given, the expression is 5/√5

We have to rationalise the denominator and evaluate the given expression.

To rationalise we have to take conjugate,

5/√5 = 5/√5 × √5/√5

= 5√5/5

= √5

Given, √5 = 2.236

Therefore, 5/√5 = 2.236

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

**NCERT Exemplar Class 9 Maths Exercise 1.3 Problem 13(ii)**

## 6/√6. Rationalise the denominator and hence evaluate by taking √2 = 1.414, √3 = 1.732 and √5 = 2.236, upto three places of decimal

**Summary:**

On rationalising the denominator and evaluating the expression 6/√6 by taking √2 = 1.414, √3 = 1.732 and √5 = 2.236, we get 2.449

**☛ Related Questions:**

- (√10 - √5)/2. Rationalise the denominator and hence evaluate by taking √2 = 1.414, √3 = 1.732 and √5 . . . .
- √2/(2 + √2). Rationalise the denominator and hence evaluate by taking √2 = 1.414, √3 = 1.732 and √5 . . . .
- 1/(√3 + √2). Rationalise the denominator and hence evaluate by taking √2 = 1.414, √3 = 1.732 and √5 . . . .

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