Simplify. 7square toot 32-6square root 72

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asked Nov 20, 2019 6.6k views

3 votes

Simplify. 7square toot 32-6square root 72

Mathematics
middle-school

Gabriel Heming asked

by Gabriel Heming

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$7√(32)-6√(72)=7√(16\cdot2)-6√(36\cdot2)\\\\=7\cdot√(16)\cdot\sqrt2-6\cdot√(36)\cdot\sqrt2\\\\=7\cdot4\cdot\sqrt2-6\cdot6\cdot\sqrt2=28\sqrt2-36\sqrt2\\\\=-8\sqrt2$

$Used:\\\\√(a\cdot b)=√(a)\cdot√(b)$

Dlb answered Nov 25, 2019

by Dlb

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