Simplifying Radical Expressions Test

Question 1 of 5: Simplify each:

Assume all variables represent positive real numbers. $$\sqrt{75x}$$

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$$2x\sqrt{2}$$

$$2x\sqrt{3}$$

$$5\sqrt{3x}$$

$$3\sqrt{2x}$$

$$15\sqrt{x}$$

Question 2 of 5: Simplify each:

Assume all variables represent positive real numbers. $$-5\sqrt{200x^3}$$

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$$21x^2\sqrt{3}$$

$$36x^2\sqrt{5}$$

$$-28x\sqrt{6}$$

$$-50x\sqrt{2x}$$

$$5x\sqrt{2x}$$

Question 3 of 5: Simplify each:

Assume all variables represent positive real numbers. $$2\sqrt[3]{72x^8y^2z^4}$$

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$$-50x^3yz^2\sqrt[3]{4xyz^2}$$

$$-16z^2\sqrt[3]{xy}$$

$$4x^2z\sqrt[3]{9x^2y^2z}$$

$$-30x^3y^2z^3\sqrt[3]{3xy^2z}$$

$$10xy^3\sqrt[3]{12x^2yz}$$

Question 4 of 5: Simplify each:

Assume all variables represent positive real numbers. $$3\sqrt[4]{567x^7y^7z^2}$$

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$$20x^2y^2\sqrt[4]{9xyz^2}$$

$$-27xy^2\sqrt[4]{10x^2z^2}$$

$$2xy\sqrt[4]{8xy^2z}$$

$$4xy\sqrt[4]{3xy^2z}$$

$$9xy\sqrt[4]{7x^3y^3z^2}$$

Question 5 of 5: Simplify each:

$$\sqrt[5]{\sqrt{7}}$$

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$$\sqrt[70]{2}$$

$$\sqrt[7]{7}$$

$$\sqrt[10]{7}$$

$$\sqrt[14]{5}$$

$$\sqrt[35]{10}$$

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