Question

Multiply and simplify

V8xyz3 . V10x3y2z

Answer 1

Explanation:

`\sqrt{8xyz^(3)}*\sqrt{10x^(3)y^(2)z} =\sqrt{8xyz^(3)*10x^(3)y^(2)z}\\\\ =\sqrt{2*2*2*2*5*x^(1+3)*y^(1+2)*z^(3+1)} \\\\\\=\sqrt{2^(4)*5*x^(4)*y{3}*z^(4)} \\\\=2^(2)*x^(2)*y*z^(2)√(5y) \\\\\\=4x^(2)yz^(2)√(5y)`