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Powers and Roots Practice Test 2

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Question : 14 of 40

Marks: +1, -0

Cube root of 10648 is:

12
32
22
18

Solution:

Concept:

To find a cube root, factorise the number into groups of three identical prime factors.

Explanation:

Let

x = \sqrt[3]{10648}

.

Prime factorise:

10648 = 2 \times 2 \times 2 \times 11 \times 11 \times 11

.

Group the factors:

10648 = (2 \times 11)^3

.

So,

\sqrt[3]{10648} = 2 \times 11

.

Therefore,

\sqrt[3]{10648} = 22

.

Answer:

The cube root of

10648

is

22

.

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