Math, asked by gk2999012, 7 months ago

find the smallest number by which 17496 must be divided, so that the quotient is a perfect cube. Also find the cube root of the quotient


Answers

Answered by sathyamargerate0410
0

Step-by-step explanation:

17496=8×2187

=8×9×243

=8×9×9×27

=(2^3)×(3^4)×(3^3)

=(2^3)×(3^3)×(3^3)×3

={(2×3×3)^3}×3

=18^3×3

If this number is divided by 3 we will get a perfect cube.....(18)^3

Quotient=18^3

Cube root of quotient=³√(18^3)=18

Answered by vinitakumari5424
0

Answer:

17496=8×2187

=8×9×243

=8×9×9×27

=(2^3)×(3^4)×(3^3)

=(2^3)×(3^3)×(3^3)×3

={(2×3×3)^3}×3

=18^3×3

If the number is divided by 3 we will get a perfect cube(18)^3

Quotient=18^3

Cube root of =³√(18^3)=18

Step-by-step explanation:

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