Question

What should be multiplied with 550 to get perfect square number

Answer 1

Find the prime factors:

550 = 2 x 5² x 11

Define k:

Let k be the number to be multiplied

Solve k:

For 550 to be a perfect square, the exponents must be in multiples of 2.

550 = 2 x 5² x 11

550k = 2² x 5² x 11²

therefore k = 2 x 11 = 22

Answer: The number is 22

Answer 2

550 = 2 × 5^2 × 11
to make it a perfect square 2 and 11 must be in a pair
therefore, 550 = 2^2 × 5^2 × 11^2
so the number which must be multiplied with 550 to make it a perfect square is 22.