Question

find the smallest number by which 375 must be multiplied to obtain a perfect cube​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

9 has to be multiplied with the given number to get a perfect cube

Given

• number 375
• perfect cube

To find

• the smallest number multiplied to obtain a perfect cube

Solution

we are provided with a number 375 and are asked to find out the smallest number that should be multiplied with the given number so that the result the number should be a perfect cube.

To find the smallest number let us factorise the given number 375 the factors of the number,

375 = 5 × 5× 5 ×3

from the factorised form we can see that there are three 5's and only one 3

Therefore we need to multiply two 3's to get a perfect cube,

that is the factorised form of the new number should be,

5 ×5×5×3×3×3

or, 375 ×3×3

or, 375×9

or, 3375 , which is perfect cube.

Therefore 9 has to be multiplied with the given number to get a perfect cube