Question

3. Find the smallest number by which 59400 must be multiplied to make the product a perfect cube. Also
find the cube root of the product.​

Answer 1

Answer:

∛59400 by Prime Factorisation Method-

Prime factors of 59400= (2×2×2)×(3×3×3)×(5×5)×(11)

As (5×5)×11 don't form triplets, we need to make them multiplied in order to form triplets. Also, these no. will multiply with the given no. to make it a perfect cube.

∴5×11×11= 605 is the smallest no. to be multiplied by 59400 to make it a perfect cube.

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Step-by-step explanation:

Answer 2

Answer:

605

Step-by-step explanation:

Answer- ∛59400 by Prime Factorisation Method-

Prime factors of 59400= (2×2×2)×(3×3×3)×(5×5)×(11)

As (5×5)×11 don't form triplets, we need to make them multiplied in order to form triplets. Also, these no. will multiply with the given no. to make it a perfect cube.

∴5×11×11= 605 is the smallest no. to be multiplied by 59400 to make it a perfect cube.

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