Solve sqrt[12]{25}

$$\sqrt[ 12 ] { 25 }$$

Evaluate

$$\sqrt[6]{5}\approx 1.307660486$$

Solution Steps

Rewrite 25 as 5^{2}.

$$\sqrt[12]{5^{2}}$$

Convert from radical to exponential form.

$$\left(5^{2}\right)^{\frac{1}{12}}$$

To raise a power to another power, multiply the exponents.

$$5^{\frac{2}{12}}$$

Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.

$$5^{\frac{1}{6}}$$

Convert from exponential to radical form.

$$\sqrt[6]{5}$$