Question

find the smallest number which when multiplied with 137592 will make the product a perfect cube. further find the cube root of the product

Answer 1

If it s correct then mark it as brainliest

Answer 2

The cube root of the product is 546.

Step-by-step explanation:

Given:

Find the smallest number which when multiplied with 137592 will make the product a perfect cube.  

To find:

Further find the cube root of the product

Solution:

The prime factors of 137592$= 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 7 \times 7 \times 13$

$= (2 \times 2 \times 2) \times ( 3 \times 3 \times 3) \times (7 \times 7) \times 13$

An extra 7 and 13, 13 are to be added to become a perfect cube, $7 \times 7 \times 13 = 1183$

Cube root of the product = $2 \times 3 \times 7 \times 13$ = 546

To know more:

Multiply 137592 by the smallest number so that the product is perfect cube. Also find the cube root of the product

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