Question

If x = 1/(√7 - √6), then the value of x^2 is: *

(A)1

(B)13 + 2√42

(C)0

(D)16 + 3√47

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Answer 1

Answer:

(B)

$13 + 2 \sqrt{42}$

Step-by-step explanation:

$x = 1 \frac{}{( \sqrt{7} - \sqrt{6} } ) \\ x {}^{2} = 1 \frac{}{7 + 6 - 2 \sqrt{42 } } \\ x {}^{2} = 13 + 2 \sqrt{42}$