Question

Simplify: $\sf{(\sqrt{5}+\sqrt{2})^2}$​

Answer 1

Answer:

$7 + 2 \sqrt{10}$

Step-by-step explanation:

Using $\sf{(a+b)^2=a^2+b^2+2ab}$

${( \sqrt{5})}^{2} + {( \sqrt{2} )}^{2} + 2 \times \sqrt{5} \times \sqrt{2} \\ \\ 7 + 2 \sqrt{10}$

Hope it helps u

Have a great day ahead

Annyeong

Answer 2

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

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

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

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

$7 + 2 \sqrt{10}$

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