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Quantitative Aptitude

Surds and Indices

Question

Question

A.

20√2

B.

24√2

C.

18√2

D.

22√2

Solution

Correct option is D

Given:

x^2 -\frac{1}{x^2} = 4 \sqrt{6}

Formula Used:

if

x - \frac{1}{x} = K \\ \text{ then} \\ x + \frac{1}{x} = \sqrt { K^2 + 4} \\ x^3 - \frac{1}{x^3} = K^3 - 3K

Solution:

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