Question

Is 17496 a perfect cube? If not, find the sum of natural number by which 17496 must be divided so that the quotient is a perfect cube.​

Answer 1

Answer:

heyya your answer is here

17496 is not a perfect cube ..

smallest no. x

quotient no. y^3

factor are 2×2×2×3×3×3×3×3×3×3

so smallest no. x = 3

and y^3 = (2 ×3×3)^3

y = 18 ^3

and 18^3 = 18

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Answer 2

Answer:

Given and Find:

• By what number should 17496 be divided to obtain a perfect cube.

Calculations:

• The number should be divided by the number 3.

⇢ 17,496 ÷ 3

⇢ 5,832

We know that = 17,496 = 3^7 × 2^3

That's,

⇢ 3^7 = (3 × 3 × 3 × 3 × 3 × 3 × 3 = 2187).

⇢ 2^3 = (2 × 2 × 2 = 8).

⇢ 3^7 × 2^3 = (2187 × 8)

⇢ 17,496

⇢ 3 × 3 × 2

⇢ 18