Quiz At Home

Title: Dividing Radicals

Grade: 8-b Lesson: S1-L8

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the five problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: at Home

Problem Id Problem Options

1

Dividing the radical expression \$(2\sqrt5 + \sqrt3) \div (2\sqrt5 - \sqrt3)\$.

A) \$ \sqrt2 + \sqrt(3/2) \$

B) \$ ( 12 - 3\sqrt(21))/ (19) \$

C) \$ ( 23 + 4\sqrt(15))/ (17) \$

D) \$ 3\sqrt10 \$

2

Dividing the radical expression \$ (2 + sqrt(3))/(5 - sqrt(3)) \$.

A) \$ ( 2 - \sqrt3)/(\sqrt6) \$

B) \$ ( 10 + 7\sqrt3)/(33) \$

C) \$ ( 12 - 3\sqrt(21))/ (19) \$

D) \$ ( 13 + 7\sqrt3)/(22) \$

3

Simplify the following expression \$ (20 root(3)(x^4y^6)) \div (4 root(3)(x^2y^5)) \$.

A) \$ 4/3 root(3)(xy)\$

B) \$ 5 root(3)(x^2 y) \$

C) \$ 10 root(3)(x^2 y^2) \$

D) \$ 14 root(3)(27x)\$

4

Simplify \$(200sqrt(x^5y^2)) div (8sqrt(x^3y^6)) \$.

A) \$ (25x)/y^2 \$

B) \$ (25x^2)/y^2 \$

C) \$ (5x)/y \$

D) \$ y^2/(25x) \$

5

Simplify \$ (6\sqrt(50a^2) + 3\sqrt(18a))/(\sqrt(2a)) \$.

A) \$ 30\sqrt(a) + 9\$

B) \$ 30\sqrt(a) + 9a\$

C) \$ 30a + 9\$

D) \$ 30 - 9\sqrt(a)\$

6

Simplify the following expression: \$ \sqrt(200) \div \sqrt5 \$.

A) \$ 3\sqrt10 \$

B) \$ 2\sqrt10 \$

C) \$ 4\sqrt10 \$

D) \$ 2\sqrt5 \$

7

Divide the radicals and simplify: \$ (\sqrt(10) + \sqrt5) \div \sqrt2 \$.

A) \$ \sqrt4 + \sqrt(5/2) \$

B) \$ \sqrt5 + \sqrt(5/2) \$

C) \$ \sqrt5 + \sqrt(1/2) \$

D) \$ \sqrt2 + \sqrt(3/2) \$

8

Simplify the following expression: \$ (\sqrt(27a^3)) \div (\sqrt(3a)) \$.

A) 9a + 3

B) 6a

C) 3a

D) 2a

9

Simplify the following expression: \$ \sqrt(18p^3 q^2) \div \sqrt(12pq) \$.

A) \$p \sqrt((q)/2) \$

B) \$ p\sqrt(3/2) \$

C) \$p \sqrt((3q)/2) \$

D) \$ \sqrt(3/2) \sqrtq \$

10

Dividing the following radical expression: \$ 13 \div (\sqrt(144) + \sqrt(9)) \$.

A) \$ 19/17 \$

B) \$ 13/11 \$

C) \$ 17/15 \$

D) \$ 13/15 \$


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