Radical Functions: Simplifying Radicals & Operations

Write the expression in simplest radical form.

Write the expression in simplest radical form.

$$\sqrt[4]{144x^7}$$

Write the expression in simplest radical form.

$$\sqrt[6]{2x^2y^8}$$

Write the expression in exponential form.

$$\sqrt[3]{14x^7y^4}$$

Write the expression in exponential form.

Simplify. Write final answers in simplest radical form.

$$\sqrt[3]{256x^{15}y^2}$$

Simplify. Write final answers in simplest radical form.

$$8\sqrt[4]{32}-\sqrt[4]{162}$$

Simplify. Write final answers in simplest radical form.

$$\sqrt[3]{-3x^2}\times\sqrt[3]{24x^5}$$

Simplify. Write final answers in simplest radical form.

$$\sqrt[]{2}\left(\sqrt[]{5}-6\sqrt[]{12}\right)+\sqrt[]{40}$$

Simplify. Write final answers in simplest radical form.

$$\left(4\sqrt[]{7}+3\right)\left(6\sqrt[]{7}-1\right)$$

Simplify. Write final answers in simplest radical form.

$$\left(\sqrt[]{3}+\sqrt[]{2}\right)^2$$

Rational Exponents - Write final answers in simplest radical form.

$$2^{\frac{1}{2}}\times2^3$$

Rational Exponents - Write final answers in simplest radical form.

$$64^{-\frac{2}{3}}\times64^{\frac{1}{3}}$$

Rational Exponents - Write final answers in simplest radical form.

$$\frac{\sqrt[]{x^3}}{\sqrt[4]{x^5}}$$