Square root of a mixed number

Hello! Today we are asked to find the square root of the mixed number five and one sixteenth. Let's solve this step by step.

We are looking for the square root of five and one sixteenth.

First, we must convert this mixed fraction into an improper fraction. To do this, we multiply the whole number by the denominator and then add the numerator.

Now keep the original denominator, which is sixteen. So our expression now looks like the square root of eighty one over sixteen.

Using the properties of square roots, we can split this into the square root of the numerator divided by the square root of the denominator.