Question

find the smallest number by which 46875 must be multiplied to make it a perfect cube​

Answer 1

Answer:

first you have to find out prime factors of46875

i.e.5*5*5*5*5*5*3

in this cube of two 5 are there but 3 have no pair..

so the answer is 3

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Answer 2

Answer:

9

Step-by-step explanation:

$46875 = 125 \times 125 \times 3$

$= {5}^{3} \times {5}^{3} \times {3}^{1}$

to make it perfect cube, we need to multiply it by 3×3 = 9

$= {5}^{3} \times {5}^{3} \times {3}^{1} \times 3 \times 3$

$= {5}^{3} \times {5}^{3} \times {3}^{3}$

$= {(5 \times 5 \times 3)}^{3}$

$= {75}^{3}$

so by multiplying 46875 by 9 we get a perfect cube number.

⭐Hope it helps⭐

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