Question

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{(under root 5)+(under root 2)}square

with explanation ​

Answer 1

REFER TO THE ATTACHMENT ❣️ ( WITH EXTRA EXPLANATION)

Answer 2

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

We know that

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

Simply apply the formula:-

Here,

$a = \sqrt{5} \: \: \: \: \: \: \: and \: \: \: \: \: \: \: b = \sqrt{2}$

So,

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

Hope it helps.