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Alisiya [41]
3 years ago
11

What is 4✓3×10✓12×✓6×✓2

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
5 0

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

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