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