Question

The least number that should be multiplied with $22932$ to make it a perfect square is

• A. 8${}^7$$\times$6${}^3$
• B. 8${}^2$$\times$ 6${}^2$
• C. 13
• D. 8${}^3$$\times$ 6${}^3$

Answer 1

The correct option is C 13

Prime factorization of $22932$ given

$22932=2^2\times 3^2\times 7^2\times 13={(2\times 3\times 7)}^2\times 13$

Now multiplying the number by $13$ gives a square.