Aim: How do we simplify radical expressions? Do Now: List at least 3 factors of: x 4

Do Now: List at least 3 factors of: x 4

Radicand – the number inside the radical sign The number 135 is the radicand in the expression Radical Expressions The radical sign is a symbol used to indicate a root (square root) This expression is read “the square root of 135”

Radical Expressions The number 6 is outside the radical sign and should be multiplied against the square root This expression is read “Six times the square root of ten”

A radical expression is in simplest form when: No radicands have perfect square factors other than 1.1. No radicands contain fractions. No radicals appear in the denominator of a fraction. Simplest Radical Form

Ex 1: Express the following in simplest radical form Factors of 60 include:

Ex 2: Express the following in simplest radical form

Ex 3: Express the following in simplest radical form

Ex 4: Express the following in simplest radical form

Ex 5: Express the following in simplest radical form Simplify by using multiple steps

Simplifying Radical Expressions 1) Analyze factors of the radicand 2) Find the largest perfect square factor 3) Divide the radicand into two or more radical expressions 4) Take the square root of all perfect square radicands (half all even exponents) 5) Multiply all factors outside the radical signs Multiply all of the factors inside the radical signs.