Question

find the cube root of 1331000​

Answer 1

Answer:

3√1331000

3√(110*110*110)

110

so, cube root of 1331000 is 110.

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Answer 2

Given: A number- 1331000

To find: Cube root of the given number

Solution: Using Prime factorization, 1331000 can be expressed as:

1331000 = 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11

We can see that 1331000 can be expressed as the product of pairs of three identical numbers.

i.e., 1331000 = $2^{2} * 5^{3} * 11^{3}$

Cube root of 1331000 = 2 × 5 × 11 ( product of numbers taken from each pair of identical numbers in prime factorization of 1331000)

$\sqrt[3]{1331000}$ = 2 × 5 × 11 = 110

Hence, cube root of 1331000 is 110.