Find the Cube root of 110524
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Answer:
47.
Step-by-step explanation:
it is not a perfect cube
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Find cube root of 110592.
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Hint: We have to find the cube root of 110592 which means we have to find a number which when multiplied three times produces 110592. Find prime factorization of 110592 and then graph them in blocks of the same factor and take one factor per block and multiply them together to get the cube root.
Given number is 110592.
Complete step-by-step answer:
We have to find the cube root of 110592. It means we have to find a number which will produce 110592, when multiplied three times.
We will use a prime factorization method for finding cube roots.
Step 1: Find prime factorization of given number
⇒ Prime factorization of 110592
∴110592=212×33
Step 2: If a number occurs equal to or more than 3 times, since we need to find cube root, we will divide the prime factor in the blocks of three time occurrences i.e.;
110592=2×2×2×2×2×2×2×2×2×2×2×2 3×3×3
And take the number one time in cube root if it is occurring three times in the given number and so on.
Thus, cube root of 110592=2×2×2×2×3
=48
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