Question

7. 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. with expalation ​

Answer 1

Answer:

Hey mate  here is your answer!

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The smallest number by which 17496 must be divided ,so that the quotient is a perfect cube,

let smallest number be x,

and quotient number be y³,

so, 17496/x which gives 0 as remainder and y³ as quotient,

so, factors of 17496 = 2×2×2×3×3×3×3×3×3×3,

no of 2's are 3,

no of 3's are 7

so, factors of 17496 = 2³ × 3³ × 3³ × 3 = (2 × 3 × 3)³ × 3,

so, smallest number is x = 3,

y³= (2×3×3)³,

y = 18,

the perfect cube is y³ = 18³,

cube root of 18³ = 18.✔✔✔✔✔

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Hope it helps you and please do mark me as Brainliest.

Answer 2

Answer:

I don't know the answer sorry '