Algebra Radicals

Rational numbers

-1/2, 2/3, 0, 3, .25, .45

Integers

-3,-2,-1,0,1,2,3

Multiplying radicals

Multiply the coefficients, multiply the radicands, and then simplify the results

Irrational numbers

Pie, .131131113....

Computing with real numbers

Rational + rational = rational Irrational + irrational = irrational Rational + irrational = irrational R x r = r R x ir = ir Ir x ir = ir

Adding and subtracting of radicals

Simplify each radical and combine like radicals

Rational exponents

Sometimes exponents can be rational numbers The numerator goes inside the radical as an exponent of the number The denominator goes outside and is the root you need to take

Simplifying Radicals

The simplest form of a square root radical is one in which the number inside is an integer that has no perfect square factor other than one

Dividing and simplifying square roots

You must simplify the problem so that the square root is not in the denominator. This is called rationalizing the denominator

Whole numbers

0,1,2,3,4...

Natural Numbers (Counting Numbers)

1, 2, 3, 4, 5, 6, 7, 8, 9, etc. Whole numbers that are not negative