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 of Multiplying Square rootsStep 1
Combine square roots under 1 radicand
Divide (if possible). Since 150 is divisible by 2, we can do this.
Example 2 of Multiplying Square rootsStep 1
Combine the square roots under 1 radicand
Divide the square roots and the rational numbers.
Practice Dividing Square Roots
Directions: Divide the square roots and express your answer in simplest radical form