The value of (√32 + √48)/(√8 + √12) is equal to
a. √2
b. 2
c. 4
d. 8

Solution:

Given

(√32 + √48)/(√8 + √12)

It can be written as

= (√16 × 2 + √16 × 3)/ (√4 × 2 + √4 × 3)

By further simplification

= (4√2 + 4√3)/ (2√2 + 2√3)

Taking 4 as common in the numerator and 2 in the denominator

= 4(√2 + √3)/ 2(√2 + √3)

So we get

= 4/2

= 2

Therefore, the value is 2.

✦ Try This: The value of (√36 + √50)/(√10 + √18) is equal to

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

NCERT Exemplar Class 9 Maths Exercise 1.1 Problem 15

The value of (√32 + √48)/(√8 + √12) is equal to a. √2, b. 2, c. 4, d. 8

Summary:

A conjugate is a similar surd but with a different sign. The value of (√32 + √48)/(√8 + √12) is equal to 2

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