Question

Find the smallest number that 7840 must be divided by to make it a perfect square.

Answer 1

Answer:

1960 each side

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Answer 2

Answer:

10

Step-by-step explanation:

Through prime factorization method, 7840 can be split into 2x2x2x7x7x2x2x5.

Here there are 2 pairs of 2 and 1 pair of 7.

(2x2)x2x(7x7)x(2x2)x5

The no. 2 and 5 have no pairs.

So the smallest no. to be divided by 7840 to make it a perfect square is 2 x 5 = 10

To verify: Divide 7840 by 10 which gives 784. Square root of 784 = 28