Question

12) Simplify :- (5 + √7)(2 + √5)​

Answer 1

$\longrightarrow{\blue{}}$ $(5 + \sqrt{7} )(2 + \sqrt{5} )$

$\longrightarrow{\blue{}}$ $5(2 + \sqrt{5} ) + \sqrt{7} (2 + \sqrt{5} )$

$\longrightarrow{\blue{}}$ $(5 \times 2) + (5 \times \sqrt{5} ) + (\sqrt{7} \times 2) + ( \sqrt{7} \times \sqrt{5} )$

$\longrightarrow{\blue{}}$ $10 + 5 \sqrt{5} + 2 \sqrt{7} + \sqrt{35}$