Question

What is 4√3×10√ 12×✓ 6×✓2

Answer 1

`\large\boxed{4\sqrt3*10√(12)*\sqrt6*\sqrt2=480\sqrt3}`

Explanation:

`4\sqrt3*10√(12)*\sqrt6*\sqrt2=(4)(10)√((3)(12)(6)(2))\\\\=40√((3)(3)(2)(2)(3)(2)(2))=40√(3^2*2^2*2^2*3)\\\\\text{Use}\ √(ab)=√(a)\cdot√(b)\ \text{and}\ √(a^2)=a\ \text{for}\ a\geq0:\\\\=40*√(3^2)*√(2^2)*√(2^2)*\sqrt3=40*3*2*2*\sqrt3\\\\=480\sqrt3`