Question

Evaluate (root5-2root2)square

Answer 1

Answer:

-3

Step-by-step explanation:

(√5-2√2)^2

=5-4*2

=5-8

=-3

Answer 2

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

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$\implies( \sqrt{5} - 2 \sqrt{2}) {}^{2} \\ \\ = ( \sqrt{5}) {}^{2} + (2 \sqrt{2}) {}^{2 } - 2( \sqrt{2})(2 \sqrt{2}) \\ \\ = 5 + 8 + 8 \\ \\ = 21$

☆ Therefore your answer is 21.