How radical is this?

How radical is this?

“Perfect Squares” 64 225 1 81 256 4 100 289 9 121 16 324 144 25 400 169 36 625 196 49

Simplify The SIMPLIFIED answer is like the length of the side of the square – So if a square has an area of 4, what is the length of the sides of the square? = 2 This is called theRADICAND.Think of theRADICANDas theArea of a square

Simplify the following……. = 5 = 4 =10 = 12

How many solutions does a perfect square have? and -5 = 5 What is -5 (-5)? = 25, so for each perfect square there are 2 solutions. We write this as 5.

Estimate the radicals between two consecutive integers. Estimate the √10 • Can we make a square with an area of 10 with the same side lengths? • No, so we must estimate the radical. • 3. Think of a perfect square that is less than the square root of ten and greater than the root of 10.

How do I estimate a non perfect square? 1 2 3 4 5 Steps: • Find 2 perfect squares that are closest to • For example, the closest perfect square that is less than the square root of 10 is the • The closest perfect square that is greater than the square root of 10 is • Place both square roots above their solutions on the number line. • The falls between 3 and 4. 3 4

EQ: How do I simplify a radical?

Simplifying Radicals Simplest form is when the radical expression has no perfect square factors other than 1 in the radicand Simplifying Radicals

Product Property of Radicals *a number inside a radical can be separated into parts by finding its factors 9.3 – Simplifying Radicals

1. Look for perfect squarefactors 2. Separate into 2 parts 3. Simplify the perfect square Ex. 1. Simplify the expression: 9.3 – Simplifying Radicals

Ex. 2. Simplify the expression: 9.3 – Simplifying Radicals

Ex. 6. Simplify the expression: *If the number is too big, break it down in steps 9.3 – Simplifying Radicals

Perfect Square Factor * Other Factor Simplify = = = = LEAVE IN RADICAL FORM = = = = = =

How radical is this?