Question

Find smallest number by which 1100 must be multiplied so that the product becomes a perfect square also find the square root of

Answer 1

Answer:

smallest number to be multiplied to make '1100' a perfect square == '11'

square root value == 110

Step-by-step explanation:

1100 = 11 x 100

= 11 x 10^2

Now, 'PERFECT SQUARE' numbers are those numbers which when expressed as the product of prime numbers (factors) have 'EVEN' powers

Here,

1100 = 11 x 10^2 = 11 x 5^2 x 2^2

so, '11' is the only term that doesn't have an 'even power'. Hence MULTIPLYING BY '11' will yield a perfect square.

'11' - smallest number to be multiplied

square root - 11*10= 110