1. Jim Smith JCHS

2. Perfect Squares If You Multiply A Number By It’s Self, You Get A Perfect Square 1x1 = 1 2x2 = 4 3x3 = 9 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400

3. Radicals This Is A Radical Sign Or A Square Root Symbol. It Means “The Number You Multiply By It’s Self To Get The Number Under The Sign”.

4. 25 = Radical 25, The Square Root Of 25, Or The Number You Multiply By It’s Self To Get 25 5 +-

5. 25 Positive root = 5 - 25 Negative root = -5 25Both = -5, 5 +- Which Sign To Use ??

6. 36811449 = 6 = 9 = 12 = 3 Never Leave A Perfect Square Under A Radical Sign

7. 3 x 2 x 5 x 7 = When Multiplying Or Dividing Remember: Remember: Whole Numbers ( Rational Numbers ) With Whole Numbers And Radicals With Radicals. 3 5 x 2 7 = 6 35

8. 5 5 10 15 Whole Numbers ( Rational Numbers ) With Whole Numbers And Radicals With Radicals. 2 3 5 1 5 1 5 5 1 =

9. = 2 10 Never Leave A Number Under A Radical Sign That Has A Perfect Square As A Factor. ab = a x b = 5 2 40 = 4 10 x 50 25 2 =x

10. Divide Your Number By 2 And Check The Perfect Squares From That Point Down To 4. 240 240 / 2 = 120, So Check 240 / 100, 240 / 81 Etc. Until You Get A Whole Number As An Answer. 240 / 16 = 15 So…. = 16 x 15 = 4 15

11. Never Leave A Fraction Under A Radical Sign 34 ==== 3432

12. Never Leave A Radical In The Denominator Of A Fraction To Simplify This Expression We Rationalize The Denominator. Multiply The Denominator By Something That Gives Us A Rational Answer. We Can Usually Multiply It By It’s Self. Multiply The Top By The Same Thing. 3 5 = 3 5 5 5 5xx

13. 2 52 5 3 32 52 5 3 3 3xx33 == 2 15 3 == 5 6 2 7 xx77 5 42 2x7 2x7 == 5 42 14 14