(3-√5)(3-√5) Please Include Steps

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Kerby asked Jul 16, 2023

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(3-√5)(3-√5)
Please Include Steps

Mathematics
high-school

Kerby asked Jul 16, 2023

by Kerby

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$\left( 3 - \sqrt 5 \right) \left( 3 - \sqrt 5 \right) \\\\=\left( 3 - \sqrt 5 \right) ^2\\\\=3^2 - 2 \cdot 3 \cdot \sqrt 5 + \left( \sqrt 5 \right)^2\\\\=9-6\sqrt5 +5\\\\=14-6\sqrt 5\\\\=2(\left7-3\sqrt 5 \right)$

Kumaheiyama answered Jul 23, 2023

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