Question

What is 4✓3×10✓12×✓6×✓2

Answer 1

`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`