Find the smallest number by which 1125 must be multiplied so the product is a perfect square also find the cube root
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Answer:
Smallest number = 3
Step-by-step explanation:
1125 = 3×3×5×5×5 (find with long division method/prime factorisation method)
as you can see 3 does not appear three times as the number 5.
Therefore, 1125×3 = 3×3×5×5×5×3
So, when we multiply the number 1125 with the smallest number 3 (in this case) we get the perfect cube.
Cube root of the new number is 3375 = 3×3×3×5×5×5
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