Square root and cube root

user November 19, 2023

(36) What is the square root of 144?

(a) 12
(b) 14
(c) 16
(d) 18

Correct Answer: (a) 12
The square root of 144 is $ \sqrt{144} = 12 $.
$\sqrt{144} = 12$

(37) If the cube root of a number is 5, what is the cube of that number?

(a) 5
(b) 10
(c) 25
(d) 125

Correct Answer: (d) 125
If the cube root of a number is 5, then the number itself is $5^3 = 125$. The cube of this number is $125^3$.
$125^3 = 1,953,125$

(38) What is the smallest integer that when squared gives a number greater than 25,000?

(a) 150
(b) 160
(c) 161
(d) 170

Correct Answer: (c) 161
The smallest integer whose square is greater than 25,000 is 161 since $160^2 = 25,600$ and $161^2 = 25,921$.
$161^2 = 25,921 > 25,000$

(39) What is the cube root of 1000?

(a) 8
(b) 10
(c) 10
(d) 100

Correct Answer: (c) 10
The cube root of 1000 is $ \sqrt[3]{1000} = 10 $.
$\sqrt[3]{1000} = 10$

(40) If the square of a number is 169, what is the cube root of that number?

(a) 2
(b) 4
(c) 13
(d) 169

Correct Answer: (c) 13
If the square of a number is 169, then the number itself is $ \sqrt{169} = 13 $. The cube root of this number is $ \sqrt[3]{13} $.
$\sqrt[3]{13} = 2197$

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