**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 of Multiplying Square roots

Step 1Combine square roots under 1 radicand

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

Simplify the radical (if possible)

##### Example 2 of Multiplying Square roots

Step 1Rewrite the expression by combining the rational and irrational numbers into two distinct quotients.

Combine the square roots under 1 radicand

Divide the square roots and the rational numbers.

Simplify the radical (if possible)

**Practice** Dividing Square Roots

**Directions:** Divide the square roots and express your answer in simplest radical form

Divide (if possible). Since 200 is divisible by 10, we can do this.

Divide (if possible). Since 140 is divisible by 5, we can do this.

This problem is like example 2

Step 1Rewrite the expression by combining the rational and irrational numbers into two distinct quotients.

Combine the square roots under 1 radicand

Divide the square roots and the rational numbers.

This problem is like example 2.

Step 1Rewrite the expression by combining the rational and irrational numbers into two distinct quotients.

Combine the square roots under 1 radicand

Divide the square roots and the rational numbers.