English, asked by ndsharma2199, 8 months ago

answer pls pls fast find the smallest number by which 3087 should be divided so that the quotient is a perfect square hundred marks please answer​

Answers

Answered by suveda34
6

3 is the smallest number by which 3087

must be divided so that the quotient is a perfect cube.

Step-by-step explanation:

Given a number 3087

we have to find the smallest number by which 3087 must be divided so that the quotient is a perfect cube.

The prime factors of 3087 are

3087=3×3×7×7×7

To find the cube root we need to write a number for a pair of 3

Since the number 3 has not triplet,

Therefore we need to multiply 3087 by 3 to make it a perfect cube.

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Answered by Ҡαηнα
20

Answer:

3 is the smallest number by which 3087 must be divided so that the quotient is a perfect cube.

Step-by-step explanation:

Given a number 3087

we have to find the smallest number by which 3087 must be divided so that the quotient is a perfect cube.

The prime factors of 3087 are

3087=3\times 3\times 7\times 7\times 73087=3×3×7×7×7

To find the cube root we need to write a number for a pair of 3

Since the number 3 has not triplet,

Therefore we need to multiply 3087 by 3 to make it a perfect cube.

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