Question

what is the smallest number by which we divide 691250 that the quotient become a perfect cube find the cube root of the quotient

Answer 1

5530 is the smallest number to divide 691250 to make the quotient a perfect cube.

5 is the cube root of the quotient.

Step-by-step explanation:

Given,

Number = 6,91,250

To find,

The smallest number by which it must be divided to make it a perfect cube =?

Procedure:

We will find the L.C.M. of 6,91,250

6,91,250 = 2 * 5^3 * 5 * 7 * 79

The smallest number to divide it in order to make it a perfect cube

= 2 * 5 * 7 * 79

= 5530

New Number = 691250 ÷ 5530

= 125

The cube root of $\sqrt[3]{125}$ = 5

Learn more: find the Perfect Cube

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