Question

Simplify (√5 +√2)(√5+√2) ​

Answer 1

Step-by-step explanation:

= (√5 + 2)²

= √5² + 2(√5)2 + 2²

= 5+4√5+4

= 9 + 4√5

Answer 2

Step-by-step explanation:

$( \sqrt{5} + \sqrt{2} )( \sqrt{5} + \sqrt{2} ) = {( \sqrt{5} + \sqrt{2} )}^{2} \\ By \: using \: formula \\ {(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab \\ {( \sqrt{5} + \sqrt{2} )}^{2} = {( \sqrt{5} )}^{2} + { (\sqrt{2} )}^{2} + 2( \sqrt{5} )( \sqrt{2}) \\ = 5 + 2 + 2( \sqrt{5} )( \sqrt{2}) \\ = 7 + 2 \sqrt{10}$

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