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What is 4✓3×10✓12×✓6×✓2

1 Answer

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4\sqrt3\cdot10√(12)\cdot\sqrt6\cdot\sqrt2=(4\cdot10)\sqrt3\cdot√(12)\cdot√(6\cdot2)=40\sqrt3\cdot√(12)\cdot√(12)\\\\=40\sqrt3\cdot(√(12))^2=40\sqrt3\cdot12=\boxed{480\sqrt3}\\\\Used:\\\\√(ab)=√(a)\cdot√(b)\ for\ a\geq0\ and\ b\geq0\\\\(√(a))^2=a\ for\ a\geq0

User James Scholes
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