\sqrt{9-4√(5) }. Solve.

Lenniekid asked Sep 1, 2023

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$\sqrt{9-4√(5) }$ . Solve.

Lenniekid asked Sep 1, 2023

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22 votes

Answer: √5-2.

Explanation:

$\sqrt{9-4√(5) }=\\\\ \sqrt{5+4-2*2*√(5) } =\\\\\sqrt{(√(5))^2-2*√(5)*2+2^2 } =\\\\\sqrt{(√(5)-2)^2} =\\\\|√(5) -2|=\\\\√(5) -2$

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