Question

find the smallest number by which -6125 should be multiplied to make it a, perfect cube.
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Answer 1

$\large{\boxed{\red{\textbf{Brainliest\:Please}}}}$

To find :-

• smallest number by which 6125 should be multiplied to make it a, perfect cube.

Solution :-

first , we will find its prime factorisation.

5 | 6125

5 | 1225

5 | 245

7 | 49

7 | 7

⠀| 1

Here, the prime factors are :- 5 × 5 × 5 × 7 × 7

If we multiply 5 to 5 × 5 × 5 × 7 × 7 we will get two pairs of all the digits.

_____ ⠀ _____ ⠀ _____ ⠀ _____ ⠀ _____

5 × 5 × 5 × 5 × 7 × 7 [ two pairs :- 5 × 5 × 7 = 175 ]

5 × 5 × 5 × 5 × 7 × 7 = 6125 × 5 = 30,625

Hence, 30,625 is the perfect square of 175.

Answer 2

Answer:

-6125= -(5x5x5x7x7)

-6125x7= -(5x5x5x7x7x7)

-42875

(-42875)^1/3 = -35

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