Simplify and Solve Radicals

Simplify and solve radicals

Simplify the perfect square
(divide exponents by 2)

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Simplify: $\sqrt[]{121x^6y^{24}}$

Then type your answer in the blank. Use the ^ for exponents. Do not use the space bar!

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Simplify: $-2\ \sqrt[]{36x^{12}y^8}$

Type your final answer in the blank. Do not use the space bar. Use the ^ for exponents.

Multiple Choice

Simplify: $$-\ \sqrt[]{\frac{4x^6}{9y^{20}}}$$

• $$\frac{16x^3}{81y^{10}}$$

• $$-\ \frac{2x^3}{3y^{10}}$$

• $$\frac{3y^{10}}{2x^3}$$

• $$\frac{2x^3}{3y^{10}}$$

Simplify the perfect cubes
(divide exponents by 3)

Multiple Choice

Simplify: $$\sqrt[3]{\frac{729x^{15}}{27y^9}}$$ then select the final answer.

• $$\frac{3x^{45}}{y^{27}}$$

• $$\frac{3x^5}{y^3}$$

• $$\frac{x^5}{3y^3}$$

• $$\frac{9x^5}{3y^3}$$ $$\frac{3x^{45}}{y^{27}}$$

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Simplify: $-3\sqrt[3]{27x^{18}y^{33}}$ then type your final answer in the blank. Use the ^ symbol for exponents. Do not use the space bar.

Multiple Select

Which expressions simplify to $$8x^6y^8$$ ?

Select all the correct answers.

• $$\sqrt[3]{512x^{18}y^{24}}$$

• $$\sqrt[]{64x^{12}y^{16}}$$

• $$2\ \sqrt[]{16x^{12}y^{16}}$$

• $$\sqrt[3]{64x^{18}y^{24}}$$

Solve Radical Equations

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Solve: $\sqrt[]{x-1}=6$

Type your answer in the blank when done.

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Solve: $2\ \sqrt[]{x+1}=16$ then type your final answer in the blank.

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Solve: $4\ \sqrt[3]{x-1}+5=13$ then type your final answer in the blank.

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Solve the equation: $\sqrt[3]{x-1}=4$ then type your final answer in the blank.