Question

What will come in place of question mark (?) in the following question?

${\left[\frac{3\sqrt{(}1724+3\times 12\times 13\times 25+2195)}{143+24\times 13+168}\right]}^{\frac{1}{2}}=?$

• A.
• B.
• C.
• D.
• E.

Answer 1

The correct option is C

$1727\approx (12{)}^{3}2195\approx (13{)}^{3}143\approx (12{)}^{2}168\approx (13{)}^2?={\left[\frac{3\sqrt{(}1724+3\times 12\times 13\times 25+2195)}{143+24\times 13+168}\right]}^{\frac{1}{2}}?={\left[\frac{3\sqrt{(}12+13{)}^3}{(12+13{)}^2}\right]}^{\frac{1}{2}}$

$\left\{\right(a+b{)}^3=a^3+3ab(a+b)+b^{3}and(a+b{)}^2=a^2+2ab+b^2\}$