Simplifying Radicals

multiply radicals

'inside to inside' and 'outside to outside'

principle root

Positive square root

square root of x^2 is

absolute of value of x

secondary root

negative square root

when are there like radical expressions

same index, same radicand

variable rule

when u find the nth root of an even power, and an od power is the result, you must take the absolute value of the result to insure the value is nonnegative

denominator needs as many as

index

radical can be simplified when

-all perfect roots are out from under the root -no fractions under root -no radical signs in the denomenator -index is as small as possible

ie

-if index is even, you may need it -if index is odd, you do not need it

when can radical sign be split

-multiplication and division

to combine radicals in addition or subtraction

-simplify -add coefficients of the like radicals