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21 votes
21 votes
If you wanted to know which number, when raised to the exponent 3, results in 1,331, which action should you perform?

Find the cube of 1,331.
Find the square root of 1,331.
Find the cube root of 1,331.
Find the square of 1,331.

User Bessoufi Mounir
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2 Answers

23 votes
23 votes

the cube root of 1331 = ∛(11 × 11 × 11) = 11.

The square root of 1331 is 36.48287.

User Gamozzii
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17 votes
17 votes

Answer: Choice C

====================================================

Reason:

The cube root undoes the cubing operation.

It's similar to how the square root undoes squaring.

Your calculator should have a cube root button, or an nth root button. If not, then you can type in 1331^(1/3)

The exponent of 1/3 is the same as a cube root.

The result of 1331^(1/3) is 11

11^3 = 11*11*11 = 1331

Interpretation: You have a box that is 11 cm by 11 cm by 11 cm. The volume is 11^3 = 1331 cubic cm.

As you can see, the cube root is useful if you know the volume and want to work backwards to determine the side length of the cube.

User Afternoon
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