Square root and cube root

(11) If the square root of a number is 10, what is the cube root of the cube of that number?

• (a) 100
• (b) 1000
• (c) 10000
• (d) 100000

Answer

Correct Answer: (b) 1000
If the square root of a number is 10, then the number itself is \(10^2 = 100\). The cube of this number is \(100^3\).
100^3 = 10^2 \times 10^2 \times 10^2 = 10^6 = 1000

(12) What is the cube root of 1?

• (a) 1
• (b) 2
• (c) 3
• (d) 4

Answer

Correct Answer: (a) 1
The cube root of 1 is \( \sqrt[3]{1} = 1 \).
\sqrt[3]{1} = 1

(13) What is the square root of 169?

• (a) 13
• (b) 15
• (c) 17
• (d) 19

Answer

Correct Answer: (a) 13
The square root of 169 is \( \sqrt{169} = 13 \).
\sqrt{169} = 13

(14) If the cube of a number is 216, what is the number itself?

• (a) 3
• (b) 6
• (c) 6
• (d) 12

Answer

Correct Answer: (c) 6
If the cube of a number is 216, then the number itself is \( \sqrt[3]{216} = 6 \).
\sqrt[3]{216} = 6

(15) What is the square root of 25% (0.25 as a fraction)?

• (a) 0.5
• (b) 1
• (c) 2
• (d) 4

Answer

Correct Answer: (a) 0.5
The square root of 25% (0.25 as a fraction) is \( \sqrt{0.25} = 0.5 \).
\sqrt{0.25} = 0.5