What is the positive square root of √48 - √27?

A 21/6

B 81/2

C 41/2

D 21/2

E None of these

Solution

Correct Answer: Option E

Given that, √48 - √27

√48 = √(3 × 42) = 4√3

√27 = √( 3 × 32) = 3√3

Thus, √48 - √27 = 4√3 - 3√3 = √3

Or, √48 - √27 = 31/2

Square root of √48 - √27 = 31/4

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