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5 Cards in this Set

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To simplify non perfect squares...

1. Find a perfect square number that will divide into the #



2. Rewrite the non perfect square as


(P • N)


()- Radical Symbol


P- the perfect square number that divides into the number under the radical


N- the number of times the perfect square number divides into the number under the radical



3. Seperate the radical into two radicals



4. Simplify



5. Repeat the Steps if necessary

List of Perfect Square Numbers

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169

Perfect Square Numbers

The products of any two identical factors

What is the square root of 1?

1


•1 is a perfect square

Alternate Method for Simplifying Radicals

Step 1:


Identify a perfect square number that divides evenly into the number under the radical




Rewrite the non-perfect square as


(P•n)


()= Radical sign


P= the perfect square that divides evenly into the number under the radical


Step 2: Rewrite the non-perfect square as (P•n)()= Radical signP= the perfect square that divides evenly into the number under the radicalN= the number of times the perfect square divides into a the number under the radical


N= the number of times the perfect square divides into a the number under the radical


Step 3:


Separate the radical into two radicals



Step 4:


Simplify the perfect square into an exponent



Step 5:


Simplify the root