1.

Divide 26244 by the smallest number so that the quotient is a perfect cube. Also, find the cube root othe quotient.

Answer»

26244 = 2×2×3×3×3×3×3×3×3×3. So, 2x2x 3x 3 = 36 is the smallest number by which 26244 must be divided so that the quotient is a perfect cube.So, dividing 26244 by 36 will give us the required quotient = 729. Therefore, the cube root of the quotient = ³√729= 9.

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