Math, asked by 9131737547, 6 hours ago

find the smallest number by which 8788 be divided so that quotient is a perfect square​

Answers

Answered by aaradhyashukla304
1

Answer:

Given number is 8788. As we can see that the prime factor 2 doesn't occur 3 times, so the given number is not a perfect cube. 2197 is a perfect cube. Therefore, the smallest number by which 8788 must be divided to get the quotient as a perfect cube is “4”.

thanks hopes this helps you

Answered by devindersaroha43
1

Answer:

Step-by-step explanation:

To find the number that divides 8788 so that we obtain the quotient as a perfect cube,

Find the multiples of the number 8788,

8788 = “2 x 2 x 13 x 13 x 13”

8788 = 4 x 13 x 13 x 13

8744/4 = 13 x 13 x 13

8744 = (13)3

Hence the number 8788 must be divided by 4 so that the quotient is a perfect cube which is .(13)3

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