Question

Simplify: √ (50x^7y^6)

Answer 1

$\sqrt{50x^7y^6} = 50^{\frac{1}{2}} (x^7)^{\frac{1}{2}} (y^6)^{\frac{1}{2}} = 50^{\frac{1}{2}}x^3 x^{\frac{1}{2}}y^3 = 5(2)^{\frac{1}{2}}x^3x^{\frac{1}{2}}y^3$

$5(2)^{\frac{1}{2}}x^3x^{\frac{1}{2}}y^3 = 5x^3y^3 \sqrt{2x}$

Your answer is $5x^3y^3 \sqrt{2x}$