Powers and Roots Practice Test 5

675 = 3 × 3 × 3 × 5 × 5 = $3\times 3^2\times 5^2$
From the above, we find that only a factor 3 is left unpaired
∴ If we multiply 675 by 3 the product would be $3\times 3\times 3^2\times 5^2$ which is a perfect square.
∴ The required smallest number is 3.