​ If √7 - √3/x = x/√7 + √3 then the value of x = …………… ​

Question

If \(\cfrac{\sqrt7-\sqrt{3}}x\) = \(\cfrac{x}{\sqrt{7}+\sqrt{3}}\) then the value of x = ……………

A) 11 

B) 2 

C) 16 

D) 12

Answer 1

Correct option is (B) 2

\(x^2=({\sqrt7-\sqrt3})({\sqrt7+\sqrt3})\)

= 7 - 3 = 4 = \(2^2\)

\(\Rightarrow\) x = 2

Answer 2

Correct option is B) 2