Simplifying, Multiplying, and Dividing Radicals

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What does it mean to simplify a radical?

• To express it in its simplest form, removing any perfect square factors.

• To multiply the radical by itself.

• To convert the radical into a decimal.

• To add the radical to another radical.

What is the square root of 36?

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Simplify the expression: √30

• √15

• √10

• √30

• √5

Simplify the expression: @@\frac{\sqrt{5}}{\sqrt{3}}@@

• @@\frac{\sqrt{15}}{3}@@

• @@\frac{\sqrt{5}}{3}@@

• @@\frac{\sqrt{15}}{5}@@

• @@\frac{5}{3}@@

What is a radical?

• A radical is an expression that includes a root, such as a square root or cube root.

• A radical is a type of polynomial equation.

• A radical is a term used to describe a linear function.

• A radical is a geometric shape with equal sides.

What is the quotient of two square roots?

• @@rac{ ext{a}}{ ext{b}}@@

• @@rac{ ext{a} + ext{b}}{2}@@

• @@rac{ ext{a}}{ ext{b}} = rac{ ext{a}}{ ext{b}}@@

• @@rac{ ext{ ext{sqrt}(a)}}{ ext{ ext{sqrt}(b)}} = ext{sqrt}rac{a}{b}@@

How do you multiply radicals?

• Multiply the coefficients and the radicands separately.

• Add the coefficients and the radicands together.

• Multiply the coefficients and add the radicands.

• Square the coefficients and the radicands.

How do you divide radicals?

• Divide the coefficients and the radicands separately.

• Multiply the coefficients and the radicands together.

• Add the coefficients and the radicands separately.

• Subtract the coefficients from the radicands.