Rationalise the denominator of the following: √40/√3

Solution:

Given, √40/√3

We have to rationalise the denominator.

To rationalise we have to take conjugate,

√40/√3 = √40/√3 × √3/√3

= √40(√3)/3

= √120/3

Therefore, √40/√3 = √120/3

✦ Try This: Rationalise the denominator of the following: √40/√3

Given, √30/√2

We have to rationalise the denominator.

To rationalise we have to take conjugate,

√30/√2 = √30/√2 × √2/√2

= √30(√2)/2

= √60/2

Therefore, √30/√2 = √60/2

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

NCERT Exemplar Class 9 Maths Exercise 1.3 Problem 10(ii)

Rationalise the denominator of the following: √40/√3

Summary:

When we rationalize the denominator in a fraction, then we are eliminating any radical expressions such as square roots and cube roots from the denominator. On rationalising the denominator √40/√3 we get √120/3

☛ Related Questions:

• Rationalise the denominator of the following: (3+√2) / 4√2
• Rationalise the denominator of the following: 16/(√41 - 5)
• Rationalise the denominator of the following: (2 + √3)/(2 - √3)