Quiz At Home

Title: Multiplying Radicals

Grade: 8-b Lesson: S1-L7

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

Simplify the expression \$ (\sqrt3 - \sqrt7)^2\$.

A) \$ 10 - 2\sqrt(21) \$

B) \$ 15 + 2\sqrt(21) \$

C) \$ 3 + 2\sqrt(17) \$

D) \$ 2 + 3\sqrt(21) \$

2

Multiply the following expression \$ 9 root(3)(20) times 3 root(3)(18)\$.

A) \$ 5 root(3)(25) \$

B) \$ 54 root(3)(45) \$

C) \$ 23 root(3)(61) \$

D) \$ 16 root(3)(83) \$

3

Find the product \$ 3 root(3)(x) ( 2 root(3)(x^2y^3) + root(3)(x^2) - root(3)(y^3) ) \$.

A) \$ 15xy + 7x - root(3)(xy)\$

B) \$ x^2y^2 + 3x - 2 root(3)(xy^3)\$

C) \$ 6xy + 3x - 3 root(3)(xy^3)\$

D) \$ 3xy - 2x + root(3)(x^2y^3)\$

4

Simplify the expression \$ root(4)(16) (root(4)(625) - 6 root(4)(81))\$.

A) 34

B) \$ 10\sqrt3 - 21\$

C) \$ 5\sqrt6 - 13\$

D) -26

5

Multiply the following radical expression: \$ (\sqrt2 + \sqrt5)(\sqrt3 - \sqrt7)(\sqrt4 + \sqrt9) \$.

A) \$ 5\sqrt6 + 5\sqrt(14) + 5\sqrt(15) + 5\sqrt(35) \$

B) \$ 5\sqrt6 - 5\sqrt(14) - 5\sqrt(5) - 5\sqrt(3) \$

C) \$ \sqrt3 - \sqrt(14) + \sqrt(15) - \sqrt(35) \$

D) \$ 5\sqrt6 - 5\sqrt(14) + 5\sqrt(15) - 5\sqrt(35) \$

6

Find the product of the radical expression: \$ 7 (\sqrt3) times (\sqrt27) \$.

A) 42

B) 23

C) 63

D) 15

7

Simplify \$ x(\sqrty) \times 2\sqrt(xy) \$.

A) \$ 4xy(\sqrtz) \$

B) \$ 2xy(\sqrtx) \$

C) s\$ 2xy(\sqrty) \$

D) \$ 4xy(\sqrtx) \$

8

Simplify \$ (\sqrt(3) + 5) times (\sqrt(3) - 1) \$.

A) \$ - 2 + 4\sqrt3 \$

B) 4

C) \$ 6\sqrt3 \$

D) 9

9

Multiply the following radical expression: \$ 7\sqrt(5k^3) times \sqrt(19k^3) \$.

A) \$ 7(\sqrt15 k^3) \$

B) \$ 7(\sqrt95) k^3 \$

C) \$ 7(\sqrt95 k^6) \$

D) \$ 3(\sqrt25 k^2) \$

10

Multiply the following expression:
\$(12\sqrt(5) + \sqrt(17)) \times (\sqrt(5) - \sqrt(16))\$

A) \$ −2(\sqrt17) ​− 4(\sqrt85) ​+ (\sqrt85) ​+ 60 \$

B) \$ −4(\sqrt17) ​− 4(\sqrt15) ​+ (\sqrt85) ​+ 60 \$

C) \$ 60 - 48(\sqrt5) + (\sqrt85) - 4(\sqrt17) \$

D) \$ −4(\sqrt17) ​− 4(\sqrt25) ​+ (\sqrt85) ​+ 10 \$


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