Question

Simplify: ( √5+ √2)² * 1 point a) 7 - 2 √10 b) 7 + 2 √10 c) 9 + √10 d) 9 -√10

Answer 1

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Answer 2

$\bigstar \: \boxed{\sf{\color{red}{b) \:7 + 2 \sqrt{10} }}}$

$\large\bold{\underline{\underline{Step-by-step\:explanation:-}}}$

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

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

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

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

$\large\bold{\underline{\underline{Note:-}}}$

$( {a + b})^{2} = {a}^{2} + 2ab + {b}^{2}$