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\sqrt{9-4√(5) }. Solve.

\sqrt{9-4√(5) }. Solve.
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4 votes

\sqrt{9-4√(5) }. Solve.

User Nathan Williams
by
8.2k points

1 Answer

2 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

User Slaughterize
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