Solve sqrt[4]{121}

$$\sqrt[ 4 ] { 121 }$$

Evaluate

$$\sqrt{11}\approx 3.31662479$$

Solution Steps

Rewrite 121 as 11^{2}.

$$\sqrt[4]{11^{2}}$$

Convert from radical to exponential form.

$$\left(11^{2}\right)^{\frac{1}{4}}$$

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

$$11^{\frac{2}{4}}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$11^{\frac{1}{2}}$$

Convert from exponential to radical form.

$$\sqrt{11}$$