Math, asked by malav1232, 5 months ago

simplify (
 \sqrt{5}  +  \sqrt{2}  {}^{2}
)

Answers

Answered by Asterinn
3

GIVEN :

</p><p>(\sqrt{5} + \sqrt{2} {})^{2} </p><p></p><p>

TO DO :

Simplify the given expression

FORMULA USED :

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

SOLUTION :

⟹(\sqrt{5} + \sqrt{2} {})^{2}

⟹ \:  { (\sqrt{5} )}^{2}  +  { (\sqrt{2}) }^{2}  + 2 \sqrt{5} \sqrt{2}

⟹5 + 2 + 2 \sqrt{10}

⟹7 + 2 \sqrt{10}

ANSWER :

⟹7 + 2 \sqrt{10}

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