Question

When
$(2 \sqrt{5} - \sqrt{2}) { {}^{2} }$
is simplified, we get​

Answer 1

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$\bf what \: do \: we \: get \: if \: we \: simplify: \\ \bf (2 \sqrt{5} - \sqrt{2} )^{2}$

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$\bf identity \: to \: be \: used : \\ \bf {(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2} \\ \bf here \: \: \: a = 2 \sqrt{5} \: \: \: and \: \: \: b = \sqrt{2} \\ \bf \implies {(2 \sqrt{5} )}^{2} - 2(2 \sqrt{5} )( \sqrt{2} ) + {( \sqrt{2} )}^{2} \\ \bf = (4 \times 5) - (4 \times \sqrt{5 \times 2} ) + 2 \\ \bf = 20 - 4 \sqrt{10} + 2 \\ \bf = \underline{ \underline{22 - 4 \sqrt{10} }}$

$\huge\color{gray}{\textbf{\textsf{Hope~it~helps..!!}}}$