Light 823543 by the smallest number so that the quotient is a perfect

1.	Light 823543 by the smallest number so that the quotient is a perfect cube .write the number and find the cube root of the quotient.
Answer» ANSWER: Prime FACTORIZATION of, 8748=(2×2)×(3×3×3)×(3×3×3)×(3) In the first bracket there are two 2's and in the last bracket there is only one 3 and if these are REMOVED then the number becomes perfect cube. Hence smallest number which should be divided by 8748 so that the final number is a perfect cube=2×2×3=12 Hence required number=8748/12=729 Prime factorization of, 729=(3×3×3)×(3×3×3) Therefore,cube ROOT of 729=3×3=9 Read more on Brainly.in - brainly.in/question/1170964#readmore

Light 823543 by the smallest number so that the quotient is a perfect cube .write the number and find the cube root of the quotient.

Answer»

8748=(2×2)×(3×3×3)×(3×3×3)×(3)

In the first bracket there are two 2's and in the last bracket there is only one 3 and if these are REMOVED then the number becomes perfect cube.

Hence smallest number which should be divided by 8748 so that the final number is a perfect cube=2×2×3=12

Hence required number=8748/12=729

Prime factorization of,

729=(3×3×3)×(3×3×3)

Therefore,cube ROOT of 729=3×3=9

Read more on Brainly.in - brainly.in/question/1170964#readmore

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Light 823543 by the smallest number so that the quotient is a perfect cube .write the number and find the cube root of the quotient.

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