Answer
$2x\sqrt2$
Work Step by Step
$\frac{\sqrt{56x^5}}{\sqrt{7x^3}}$
Rationalize the denominator.
$\frac{\sqrt{56x^5}\times\sqrt{7x^3}}{\sqrt{7x^3}\times\sqrt{7x^3}}$
Use the product rule for square roots.
$\frac{\sqrt{392x^8}}{7x^3}$
Factor out perfect squares.
$\frac{\sqrt{(196)(2)x^8}}{7x^3}$
Simplify.
$\frac{14x^4\sqrt{2}}{7x^3}$
Divide.
$2x\sqrt2$
