Question

simplify the following:
(√5-2)²​

Answer 1

$\huge \mathcal\colorbox{lightblue}{Hey...}$

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$\mathcal \blue{( \sqrt{5} - 2)}^{2} \\ \mathcal \blue{ \sqrt{5} }^{2} \mathcal \blue- \mathcal \blue{2 \times 2 \times \sqrt{5} + {2}^{2}} \\ \: \mathcal \blue{5 - 4 \sqrt{5} + 4} \\ \mathcal \red{9 - 4 \sqrt{5} }$

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Answer 2

Step-by-step explanation:

The answer is

(√5 - 2)²

= √5² - 2²

= √25 - 4

= 5 - 4

= 1

So the answer is 1