Question

find the value of (√5+√2)²
$\sqrt{5} + \sqrt{2}²$
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Answer 1

$\huge \mathbb \red {ANSWER}$

by using

$property \</strong><strong>c</strong><strong>o</strong><strong>l</strong><strong>o</strong><strong>r</strong><strong>{</strong><strong>brown</strong><strong>}</strong><strong>\</strong><strong>b</strong><strong>o</strong><strong>x</strong><strong>e</strong><strong>d</strong><strong>{a + b}^{2}</strong></p><p></p><p></p><p><strong> \: we \: get \: \\ \ ({ \sqrt{5} + \sqrt{2} )}^{2} \\ \\ ({ \sqrt{5} + \sqrt{2} ) }^{2} = { \sqrt{5} }^{2} + { \sqrt{2} }^{2} + 2 ({ \sqrt{2} })^{}( \sqrt{5)} \\ \\ 5 + 2 + 2 \sqrt{10} \\ \\ 7 + 2 \sqrt{10}$

$\huge \green {explantion}$

• 1st we apply a+b² identity

• as we know a + b² = a² + b² +2ab

• by using this property we get answer as 7 + 2√10

hope it helps you

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