Rationalise the denominator of the following: (3+√2) / 4√2

Solution:

Given, the expression is 3+√2 / 4√2

We have to rationalise the denominator.

To rationalise we have to take conjugate,

3+√2 / 4√2 = (3+√2)/4√2 × 4√2/4√2

= (3+√2)4√2/16(2)

= (12√2 + 4(2))/32

= (12√2+8)/32

= 4(3√2+2)/32

= (3√2+2)/8

Therefore, (3+√2) / 4√2 = (3√2+2)/8

✦ Try This: Rationalise the denominator of the following: (4√2+3√2) / √2

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

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

Rationalise the denominator of the following: (3+√2) / 4√2

Summary:

We rationalize the denominator to ensure that it becomes easier to perform any calculation on the rational number. On rationalising the denominator of (3+√2) / 4√2 we get (3√2+2)/8

☛ Related Questions:

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