Asked by Jessi Chytka on May 07, 2024

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Find all of the cube roots of the perfect cube 216125\frac { 216 } { 125 }125216 .

A) 3118\frac { 31 } { 18 }1831
B) 215124\frac { 215 } { 124 }124215
C) 65\frac { 6 } { 5 }56
D) 56 \frac{5}{6} 65
E) 3625\frac { 36 } { 25 }2536

Cube Roots

The number that when multiplied by itself twice gives the original number. Symbolically, the cube root of \(x\) is \(x^{1/3}\).

Perfect Cube

A value that represents the result of cubing an integer.

Evaluate

Process of determining the value of an expression or function.

  • Ascertain the properties of square roots and cube roots of designated numbers.
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Nancy SanchezMay 09, 2024
Final Answer :
C
Explanation :
The cube root of 216125\frac{216}{125}125216 is found by taking the cube root of both the numerator and the denominator separately. The cube root of 216 is 6, and the cube root of 125 is 5, making the cube root 65\frac{6}{5}56 .