# What is the perfect square of 75?

Jun 27, 2015

The (perfect) square of $75$ is ${75}^{2} = 5625$
$A$ is the perfect square of $B$ if $\sqrt{A}$ is exactly equal to $\left\mid B \right\mid$. Often when determining the square root of a number we can only achieve an approximation; the original value is not a "perfect" square. However, when we square a given (Rational) number the result will be exact value, so the square will be "perfect".