Question

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

Answer 1

Step-by-step explanation:

firstly do prime factorisation of 1100

1100=2×2×5×5×11

here only 11 is not forming a pair

so we will multiply 1100 and 11

1100 ×11= 2×2×5×5×11×11

1100×11=( 2^2 ×5^2×11^2)

sq.root(1100×11) = sq.root((2×5×11))^2

sq.root of 12100 = 110

therefore 12100 is the no. and its sq.root is 110