Square root and cube root

(21) What is the square root of 196?

• (a) 14
• (b) 15
• (c) 16
• (d) 17

Answer

Correct Answer: (a) 14
The square root of 196 is \( \sqrt{196} = 14 \).
\sqrt{196} = 14

(22) If the cube root of a number is 2, what is the square of that number?

• (a) 2
• (b) 4
• (c) 8
• (d) 16

Answer

Correct Answer: (b) 4
If the cube root of a number is 2, then the number itself is \(2^3 = 8\). The square of this number is \(8^2\).
8^2 = 64

(23) What is the smallest integer that when squared gives a number greater than 4000?

• (a) 65
• (b) 64
• (c) 63
• (d) 62

Answer

Correct Answer: (a) 65
The smallest integer whose square is greater than 4000 is 65 since \(64^2 = 4096\) and \(65^2 = 4225\).
65^2 = 4225 > 4000

(24) What is the cube root of 1,000,000?

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

Answer

Correct Answer: (c) 10000
The cube root of 1,000,000 is \( \sqrt[3]{1,000,000} = 10,000 \).
\sqrt[3]{1,000,000} = 10,000

(25) If the square of a number is 36, what is the cube root of that number?

• (a) 2
• (b) 4
• (c) 6
• (d) 8

Answer

Correct Answer: (c) 6
If the square of a number is 36, then the number itself is \( \sqrt{36} = 6 \). The cube root of this number is \( \sqrt[3]{6} \).
\sqrt[3]{6} = 2