Algebra II: Radicals
If it has not index, then what is automatically the index?
Index = 2
evaluate each expression
is when you have the fraction thing and turn it into a radical and solve
What does the index tell you?
it tells you the grouping size
if you have a negative in your exponents then you
move it to the opposite side
If you have more than one variable than what do you do?
put paranthesis around it
If you are dividing radicals and they do not go in evenly, then you can
separate it.
when you have a 5 8/3 where does everything go?
the denominator is the index the numerator is the exponent
can you combine the radicals when multiplying?
yes if the expression has exponents, then you add them
can you put the radicals into the same radical if you are dividing?
yes, it works best when both numbers are divisible. You would combine it
How do you SIMPLIFY radicals?
you just put the expression in its simplest form
if asked to rewrite using rational exponents
you rewrite radical as a fraction thingy
rewrite each expression using radical notation
you rewrite the fraction to a radical
If you have a negative number inside the radicand what do ou want to have on the outside of the expression?
you want to have the # outside of radical to be negative
What happens if you cannot group all of the numbers?
Then you multiply them and leave them under the radical
Solving for Radical equations
-isolate radical term -square both sides -solve for x -check for extraneous solutions
Solving equations with rational exponents what are the steps
-isolate rational exponent -Raise to reciprocal (both sides) -solve -Check
Binomial Expression rules
-square first -multiply, then double -square last ``
Parts of a radical What is the little handle called? What is the inside of the radical called?
-the index -the radicand