Question

Find the smallest number by which 2450 be multiplied so that the produce is a perfect square.

• A. 5
• B. 2
• C. 7

Answer 1

The correct option is B 2

$2450=2\times 5\times 5\times 7\times 7$
Since, the prime factor 2 is not in pair. Therefore, the given number should be multiplied by 2
$2450\times 2=4900=2\times 2\times 5\times 5\times 7\times 7$
$\therefore \sqrt{2450\times 2}=2\times 5\times 7=70$