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Question: The value of \(= \frac{3\lbrack(\sqrt{5} + \sqrt{2})^{2} - (\sqrt{5} - \sqrt{2})^{2}\rbrack}{(5 - 2)...

The value of =3[(5+2)2−(5−2)2](5−2)(5−2)[(5+2)2+(5−2)2]+4= \frac{3\lbrack(\sqrt{5} + \sqrt{2})^{2} - (\sqrt{5} - \sqrt{2})^{2}\rbrack}{(5 - 2)(5 - 2)}\lbrack(\sqrt{5} + \sqrt{2})^{2} + (\sqrt{5} - \sqrt{2})^{2}\rbrack + 4is.

A

–2

B

123+5−22=12[(3−22)−5][(3−22)+5][(3−22)−5]\frac{12}{3 + \sqrt{5} - 2\sqrt{2}} = \frac{12\lbrack(3 - 2\sqrt{2}) - \sqrt{5}\rbrack}{\lbrack(3 - 2\sqrt{2}) + \sqrt{5}\rbrack\lbrack(3 - 2\sqrt{2}) - \sqrt{5}\rbrack}

C

2

D

None of these

Answer

2

Explanation

Solution

xln⁡a=yln⁡b=xyln⁡(ab)=k(say)x\ln a = y\ln b = xy\ln(ab) = k(\text{say}).