Math, asked by jaeminana, 3 months ago

.Is 6125 a perfect cube? If not, by which smallest natural number should 1188 be divided so that the quotient is a perfect cube?

Answers

Answered by ariRongneme
1

Answer:

The prime factors of 6125 = 5×5×5×7×7

.°. 6125 is not a perfect cube

The smallest natural number should divide to 1188 so that the quotient is a perfect cube is 7×7=49

Now, 49 should divide 6125 so that the quotient is a perfect cube.

that means 6125 /49 = 125 = 5^3

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