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