Quiz about Test: Lesson 2 -Square Roots and Cube Roots Roots

Question 1

Samuel, Arjun, and Emma are playing a game where they have to identify perfect square numbers. They have a list of numbers and they need to identify which of them are perfect squares. Can you help them? Choose all that apply (3 answers)

Accepted Answer

81

Accepted Answer

121

Accepted Answer

169

Answer

27

Answer

108

Question 2

Jackson, Abigail, and Emma are discussing mathematics. Jackson makes a statement: $$\sqrt[3]{60\ \ }=\ 20\ \ True\ or\ False$$ . Is Jackson's statement true or false?

Accepted Answer

False

Answer

True

Question 3

Maya, Michael, and Abigail are discussing mathematics. Maya says that the cube root of 64 is equal to the square root of 16. Is Maya's statement correct?

Accepted Answer

True

Answer

False

Question 4

Aria has a cube-shaped box with a volume of 125 cubic units. Kai wants to find the length of one side of the box. He calculates it as $$\sqrt[3]{125}$$ units. Is Kai's calculation correct if the result is 25 units?

Accepted Answer

False

Answer

True

Question 5

Harper needs to find the length of the diagonal of a square with an area of 144 square units. What is the length of the diagonal? (Hint: $$\sqrt[]{144}$$ )

Accepted Answer

12 units

Answer

6 units

Question 6

Aria is comparing the volume of two cubes. She found that the ratio of their volumes is $$\sqrt[]{\frac{4}{9}}\frac{ }{ }\ =\ \sqrt[3]{\frac{8}{27}}$$ . Is this comparison true?

Accepted Answer

True

Answer

False

Question 7

Michael is helping Grace and Jackson to build a square sandbox in their backyard. They need to know the side length of the sandbox. The area of the sandbox is n square feet. Which shows the side length, in feet, of the sandbox?

Accepted Answer

$$\sqrt[]{n}$$

Answer

$$n^2$$

Answer

$$\frac{n}{2}$$

Answer

$$\sqrt[3]{n}$$

Question 8

Ethan gifted Scarlett a jewelry box shaped like a cube for her birthday. The volume of the jewelry box is v cubic inches. Lily, who is good at math, wants to find out the edge length of the jewelry box in inches. Which expression should she use?

Accepted Answer

$$\sqrt[3]{v}$$

Answer

$$v^2$$

Answer

$$\frac{v}{2}$$

Answer

$$\sqrt[]{v}$$

Question 9

Which of the following expressions have the same value? (3 answers).

Accepted Answer

$$\left(7^9\right)\left(7^{-6}\right)$$

Accepted Answer

$$7^{-8\ }\div7^{-11}$$

Accepted Answer

$$7^{-3}\ imes7^6$$

Answer

$$\left(7^5\right)\left(7^3\right)\ \div7^4$$

Answer

$$\left(7^3\right)^0$$

Question 10

Zoe wants to find the length of the side of a square whose area is 25 square units. What is the length of the side (x) of the square?

Accepted Answer

5

Answer

10

Answer

15

Answer

20

Question 11

Ava is trying to find the side length of a cube whose volume is 64 cubic units. What is the length of one side of the cube (x)?

Accepted Answer

4

Answer

2

Answer

3

Answer

5

Question 12

What is the length of one side of a cube with a volume of 27 cubic units?

Accepted Answer

3

Answer

2

Answer

4

Answer

5

Question 13

Is the cube root of 64 equal to the square root of 16?

Accepted Answer

True

Answer

False

Question 14

Is the ratio of the volumes of two cubes $$\sqrt[]{\frac{4}{9}}\frac{ }{ }\ =\ \sqrt[3]{\frac{8}{27}}$$ ?

Accepted Answer

True

Answer

False

Question 15

Is the length of one side of a cube with a volume of 125 cubic units equal to 25 units?

Accepted Answer

False

Answer

True

Test: Lesson 2 -Square Roots and Cube Roots Roots

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