QQ: Simplifying Radical Expressions with Variables

QQ: Simplifying Radical Expressions with Variables

Expanded Form

1. Simplify any numbers under the radical first

2. Write (expand) out all of your variable terms

3. Look for pairs of variable terms: each pair send 1 variable outside the radical

4. Any variable without a pair stays inside the radical

Multiple Choice

Write this expression in simplest radical form.

Multiple Choice

Write this expression in simplest radical form.

How can we tell if an expression is in simplest radical form?

• We will look ONLY at the numbers and variables that are underneath the square root symbol

• If we can simplify even one term under the radical, then it is NOT in simpliest form

• If we cannot simplify those terms any further, than the expression is in simplest radical form

Multiple Select

Select each expression in simplest radical form.

• $$2\sqrt{25x}$$

• $$81\sqrt{y}$$

• $$x^2y^3\sqrt{3x}$$

• $$\sqrt{18x^2y^5}$$

Multiple Select

Select each expression in simplest radical form.

• $$\sqrt{2y}$$

• $$x\sqrt{20}$$

• $$15\sqrt{3z}$$

• $$5\sqrt{5x^2}$$