Vocabulary Refresher
The radicand
refers to the number under the radical sign. In the radical below, the radicand is the number '5'.

Refresher on an important rule involving dividing square roots:

The rule explained below is a critical part of how we are going to divide square roots so make sure you take a second to brush up on this. (Or learn it for the first time;)

When you divide two square roots you can "put" both the numerator and denominator inside the same square root. Below is an example of this rule using numbers

As you can see the '23' and the '2' can be rewritten inside the same radical sign.

Video on How To Divide Square Roots

Examples of Dividing Square Roots

Example 1

Step 1) Combine square roots under 1 radicand

Step 2) Divide (if possible). Since 150 is divisible by 2, we can do this.