Question

Find the smallest number by which 1100 must be multiplied so that the product become a perfect square. Also find the square root of the perfect square.​

Answer 1

Answer:

To find the smallest number by which the given number should be multiplied so that the product becomes a perfect square, we will first factorize the given number.

So, the prime factors of 1100

is;

1100=2×2×5×5×11

Or we can rewrite it as;

1100=(2)2×(5)2×11

Clearly, we can see that the only number left out which is not present in the square is 11

.

Hence, 11

is the smallest number which when multiplied to 1100

gives the number that is a perfect square.

And the number which will be perfect square number is = 1100×11

=12100

Now, to find the square root of the number obtained 12100

we will factorize it,

12100=(2)2×(5)2×(11)2

Hence, the square root is = 2×5×11

= 110

Answer 2

Answer:

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