Ayudaaa porfaaa√(2)-(5√(20) -3√(18) +√(125) )

Alejandro Piad asked Aug 24, 2023

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39 votes

Ayudaaa porfaaa
√(2)-(5√(20) -3√(18) +√(125) )

Alejandro Piad asked Aug 24, 2023

2.2k points

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17 votes

Answer:

10√2 -15√5

Explanation:

Radicals are simplified by factoring out squares. Like radicals can be combined.

$√(2)-(5√(20)-3√(18)+√(125))\\\\=√(2)-(5√(4\cdot5)-3√(9\cdot2)+√(25\cdot5))\\\\=√(2)-10√(5)+9√(2)-5√(5)\\\\=\boxed{10√(2)-15√(5)}$

Felixthehat answered Aug 31, 2023

2.8k points

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