\sqrt{(√(5-3))^(2)+(1+√(5))^(2)

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asked Jan 4, 2023 79.2k views

2 votes

$\sqrt{(√(5-3))^(2)+(1+√(5))^(2)$

Mathematics
high-school

Spokeadoke asked

by Spokeadoke

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1 Answer

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$=\sqrt{(√(2) )^(2)+(1+√(5) )(1+√(5) )} \\=\sqrt{2+1(1+√(5))+√(5)(1+√(5)) } \\=\sqrt{2+1+√(5) +√(5) +√(5) *√(5) } \\=\sqrt{2+1+2√(5) +5} \\=\sqrt{2+1+5+2√(5) } \\=\sqrt{8+2√(5) }$

GOODLUCK!!

Andriy Kondzolko answered Jan 10, 2023

by Andriy Kondzolko

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