Lesson Example Discussion Quiz: Class Homework |
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: |
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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