sqrt[6]{9}-এর সমাধান করুন

$$\sqrt[ 6 ] { 9 }$$

Evaluate

$$\sqrt[3]{3}\approx 1.44224957$$

Solution Steps

Rewrite 9 as 3^{2}.

$$\sqrt[6]{3^{2}}$$

Convert from radical to exponential form.

$$\left(3^{2}\right)^{\frac{1}{6}}$$

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

$$3^{\frac{2}{6}}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$3^{\frac{1}{3}}$$

Convert from exponential to radical form.

$$\sqrt[3]{3}$$