The cube root of 125

Question

ScanSolve AI Tutor · Accepted Answer

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The question asks for the cube root of 125. The cube root of a number is a value that, when multiplied by itself three times, gives the original number. We can represent this mathematically as ³√125.

We need to find a number 'x' such that x × x × x = 125.
We can test small integer values.
Let's try 1: 1 × 1 × 1 = 1 (Too small)
Let's try 2: 2 × 2 × 2 = 8 (Too small)
Let's try 3: 3 × 3 × 3 = 27 (Too small)
Let's try 4: 4 × 4 × 4 = 64 (Too small)
Let's try 5: 5 × 5 × 5 = 125 (This is correct!)

Alternatively, we can use the prime factorization of 125 that we found earlier: 125 = 5 × 5 × 5.
To find the cube root, we group the prime factors into sets of three.
³√(5 × 5 × 5) = 5

The cube root of 125 is 5.

The cube root of 125

Step-by-step solution

We need to find a number 'x' such that x × x × x = 125.

We can test small integer values.

To find the cube root, we group the prime factors into sets of three.

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