Square root and cube root

user November 19, 2023

(41) What is the square root of 225?

(a) 15
(b) 18
(c) 20
(d) 25

Correct Answer: (a) 15
The square root of 225 is $ \sqrt{225} = 15 $.
$\sqrt{225} = 15$

(42) If the cube root of a number is 6, what is the cube of that number?

(a) 12
(b) 216
(c) 432
(d) 1296

Correct Answer: (b) 216
If the cube root of a number is 6, then the number itself is $6^3 = 216$. The cube of this number is $216^3$.
$216^3 = 10,077,696$

(43) What is the smallest integer that when squared gives a number greater than 50,000?

(a) 223
(b) 224
(c) 225
(d) 226

Correct Answer: (c) 225
The smallest integer whose square is greater than 50,000 is 225 since $224^2 = 50,176$ and $225^2 = 50,625$.
$225^2 = 50,625 > 50,000$

(44) What is the cube root of 64?

(a) 4
(b) 8
(c) 16
(d) 32

Correct Answer: (a) 4
The cube root of 64 is $ \sqrt[3]{64} = 4 $.
$\sqrt[3]{64} = 4$

(45) If the square of a number is 144, what is the cube root of that number?

(a) 2
(b) 4
(c) 12
(d) 144

Correct Answer: (c) 12
If the square of a number is 144, then the number itself is $ \sqrt{144} = 12 $. The cube root of this number is $ \sqrt[3]{12} $.
$\sqrt[3]{12} = 1728$

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