Question

find the smallest number by which 13500 must be multiplied so that the product is a perfect cube​

Answer 1

Answer:

2 is a correct ans.

Step-by-step explanation:

13500 can be written as

2^2 * 3^3 * 5^3

here we see that 3 and 5 are already having the 3 as power but 2 is not

hence if we multiply a two in this we get,

2^2* 2 * 3^3 * 5^3

2^2 * 2^1 * 3^3 * 5^3

2^2+1 * 3^3 * 5^3

2^3* 3^3 * 5^3

(2*3*5)^3

30^3

which is a perfect cube

thus we need to multiply 2 with it.

Answer 2

Answer

This question answer is 2

step by step explanation

13500 can be written as

2×2× 3×3×3×5×5×5

How we get that 3 and 5 are already having the 3 as power but 2 is root

hence it we multiple a two in this we get

2×2×3×3×3×5×5×5

2×2×2×3×3×3×5×5×5

2×2+1 ×3×3×3×5×5×5

2×2×2×3×3×3×5×5×5

(2×3×5)×3

30×3

which is a perfect cube

Thus we need to multiply with it

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