Question

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

Answer 1

Answer:

The given number is 8788

The prime factorisation of 8788 is given by,

8788=2×2×13×13×13

We see that prime factor 2 does not occur in the group of 3, hence the given number is not a perfect cube.

In order to make it a perfect cube, it must be divided by 4.

Now,

4

8788

=

4

2×2×13×13×13

⇒2197=13×13×13, which is a perfect cube number.

Thus, the cube root of 2197=13

Answer 2

Answer:

If we square 93 then we get 8649

Now we will subtract 8649 from 8788

8788-8649=139

*Note: I has done upper part to tell you how 139 came

Now when we subtract 139 from 8788

8788-139=8649

√8649=93

93 is the smallest no.

Step-by-step explanation:

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