Radicals AM Radical expressions, simplify Radical expr., add/sub like radicals.

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Presentation transcript:

Radicals AM Radical expressions, simplify Radical expr., add/sub like radicals

Radicals  Square root of five  Cube root of 7 TThe three is called the index TThe seven is called the randicand The index here is An understood “2”

Perfect squares  1 2 =1  2 2 =4  3 2 =9  4 2 =16  5 2 =25  6 2 =36  7 2 =49  8 2 =64  9 2 =81  10 2 =100  11 2 =121  12 2 =144  13 2 =169  14 2 =196

Ex 1-2 Simplify 1) 2) If there are two Of a kind Bring it Out front as One number

Ex 3 Simplify 3) If there are two Of a kind Bring it Out front as One number Sq root of 9 Is 3

Ex 4 Simplify (short cut) 4) Square root of 16 is 4 Divide index (2) into exponents On variables. Leave left overs Under radical. 9/2 = 4 with 1 left over 6/2 = 3

Ex 5 Simplify (short cut) 5) Square root of 25 is 5 Divide index (2) into exponents On variables. Leave left overs Under radical. 11/2 = 5 with 1 left over 23/2 = 11 with 1 left over

Ex 8-9 Simplify 8) 9) If there are two Of a kind Bring it Out front as One number

Ex 6-7 Simplify (new rule) 6) Square root of 36 is 6 When taking sq Root of an even Exponent, you Should put your Answer in |abs value|