Question

is 40500 a perfect root ? if not​

Answer 1

Answer:

no

Step-by-step explanation:

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Answer 2

Answer:

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Step-by-step explanation:

18 should multiplied to 40500 to get perfect cube that is 729000.

Solution:

We need to determine what number should be multiplied to 40500 to obtain a perfect cube.

Let’s first do prime factorization of 40500

40500 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 5

For perfect cube we need all the powers must be 3.

So if we multiply one 2 and two threes on both side we get

So we get 40500 x 18 = 729000 and cube root of 729000 = 2 x 3 x 3 x 5 = 90.

Hence 18 should be multiplied to 40500 to get perfect cube that is 729000.