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Find the cube root of 125/216

User Jack Blank
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2 Answers

4 votes

Final answer:

The cube root of 125/216 is 5/6.

Step-by-step explanation:

To find the cube root of the fraction 125/216, we can take the cube root of both the numerator and the denominator separately.

We know that 5³ = 125 and 6³ = 216, therefore, the cube root of 125/216 is 5/6.

This result can also be expressed using the property of exponents which states that

(a/b)³ = a³/b³, so ∛(a/b) = ∛(a)/∛(b).

Thus, in this case,

∛(125/216) = ∛(125)/∛(216) = 5/6.

The use of the cube root function is a way to reverse the operation of raising a number to the power of three.

So as 5 raised to the power of three is 125, then the cube root of 125 is 5; and as 6 raised to the power of three is 216, the cube root of 216 is 6.

Combining these two we get 5/6 as our final answer.

User Shahid Neermunda
by
7.8k points
6 votes

Answer:

Step-by-step explanation:


\sqrt[3]{(125)/(216) } =\sqrt[3]{((5)/(6))^3 }=(5)/(6)

User Brandon Henry
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8.4k points

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