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Simplify. 7square toot 32-6square root 72

Simplify. 7square toot 32-6square root 72
asked 6.7k views
3 votes
Simplify. 7square toot 32-6square root 72

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User Gabriel Heming
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1 Answer

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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)

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User Dlb
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