Convert to Radical Form (36x)^(1/2)(49x)^(1/2)

${(36 x)}^{\frac{1}{2}} {(49 x)}^{\frac{1}{2}}$

Apply the rule $x^{\frac{m}{n}} = \sqrt[n]{x^{m}}$ to rewrite the exponentiation as a radical.

$\sqrt{{(36 x)}^{1}} {(49 x)}^{\frac{1}{2}}$

Apply the rule $x^{\frac{m}{n}} = \sqrt[n]{x^{m}}$ to rewrite the exponentiation as a radical.

$\sqrt{{(36 x)}^{1}} \sqrt{{(49 x)}^{1}}$

Anything raised to $1$ is the base itself.

$\sqrt{36 x} \sqrt{{(49 x)}^{1}}$

Anything raised to $1$ is the base itself.

$\sqrt{36 x} \sqrt{49 x}$