Quiz about Simplify Radicals and Algebraic Radicals

Question 1

Simplify the radical expression:
$$\sqrt{2x^2y^3}$$

Accepted Answer

$$xy\sqrt{2y}$$

Answer

$$2y\sqrt{xy}$$

Answer

$$2x\sqrt{y^2}$$

Answer

$$y\sqrt{2xy}$$

Question 2

Simplify the radical expression:
$$\sqrt{128a^3b^4}$$

Accepted Answer

$$8ab^2\sqrt{2a}$$

Answer

$$2a\sqrt{8ab^2}$$

Answer

$$2ab\sqrt{64ab}$$

Answer

$$64ab^2\sqrt{2a}$$

Question 3

Simplify the radical:
$$\sqrt{98}$$

Accepted Answer

$$7\sqrt{2}$$

Answer

$$2\sqrt{7}$$

Answer

$$14\sqrt{2}$$

Answer

$$49\sqrt{2}$$

Question 4

Simplify the radical:
$$\sqrt{180}$$

Accepted Answer

$$6\sqrt{5}$$

Answer

$$5\sqrt{6}$$

Answer

$$5\sqrt{5}$$

Answer

$$13\sqrt{5}$$

Question 5

Simplify the radical expression:
$$\sqrt{x^3y^5z^2}$$

Accepted Answer

$$xy^2z\sqrt{xy}$$

Answer

Answer

$$x^2y^4z^2\sqrt{xy}$$

Answer

$$xyz\sqrt{xy}$$

Question 6

Simplify the radical expression:
$$\sqrt{151r^2s^3}$$

Accepted Answer

$$rs\sqrt{151s}$$

Answer

$$151rs\sqrt{s}$$

Answer

$$10rs\sqrt{15s}$$

Answer

$$r^2s^2\sqrt{151s}$$

Question 7

Simplify the radical:
$$\sqrt{169}$$

Accepted Answer

Answer

$$2\sqrt{13}$$

Answer

$$13\sqrt{2}$$

Answer

$$13\sqrt{13}$$

Question 8

Simplify the radical expression:
$$\sqrt{92a^2b^3}$$

Accepted Answer

$$2ab\sqrt{23b}$$

Answer

$$23ab\sqrt{2b}$$

Answer

$$4ab\sqrt{23b}$$

Answer

$$4a^2b^2\sqrt{23b}$$

Question 9

Simplify the radical expression:
$$\sqrt{289c^5}$$

Accepted Answer

$$17c^2\sqrt{c}$$

Answer

$$17c^4\sqrt{17c}$$

Answer

$$28c^2\sqrt{9c}$$

Answer

$$34c^2\sqrt{c}$$

Question 10

Simplify the radical:
$$7\sqrt{124}$$

Accepted Answer

$$14\sqrt{31}$$

Answer

$$2\sqrt{31}$$

Answer

$$7\sqrt{31}$$

Answer

$$28\sqrt{31}$$

Question 11

Simplify the radical expression:
$$\sqrt{63x^2y^5}$$

Accepted Answer

$$3xy^2\sqrt{7y}$$

Answer

$$9xy\sqrt{7y}$$

Answer

$$3y\sqrt{7xy^2}$$

Answer

$$7y^2\sqrt{9xy}$$

Question 12

Simplify the radical:
$$\sqrt{190}$$

Accepted Answer

$$\sqrt{190}$$

Answer

$$10\sqrt{19}$$

Answer

$$19\sqrt{10}$$

Answer

$$2\sqrt{95}$$

Question 13

Simplify the radical expression:
$$2\sqrt{56a^2b^2}$$

Accepted Answer

$$4ab\sqrt{14}$$

Answer

$$2ab\sqrt{14}$$

Answer

$$14ab\sqrt{2ab}$$

Answer

$$14\sqrt{2ab}$$

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