Bagels: Real Number and Perfect Square Essay

Submitted By SippyNipps
Words: 320
Pages: 2

Radical Notes

You can only add or subtract radicals together if they are like radicals.
Combine the numbers that are in front of the like radicals and write that number in front of the like radical part.
When multiplying radicals, you must multiply the numbers outside (O) the radicals AND then multiply the numbers inside (I) the radicals.
Should a radical appear in the denominator of a fraction, it will need to be "removed" if you are trying to simplify the expression.

To "remove" a radical from the denominator, multiply the top and bottom of the fraction by that same radical to create a rational number (a perfect square radical) in the denominator.
This process is called rationalizing the denominator.
HERE IS THE RULE for multiplying radicals:
It is the symmetrical version of the rule for simplifying radicals. It is valid for a and b greater than or equal to 0.
When dividing radical expressions, use the quotient rule.
For all real values, a and b, b ≠ 0
If n is even, and a ≥ 0, b > 0, then equation
If n is odd, and b ≠ 0, then equation
That's a mathematical symbols way of saying that when the index is even there can be no negative number in the radicand, but when the index is odd, there can be.
Radical expressions are written in simplest terms when
1. Find the largest perfect square which will divide evenly into the number under your radical sign. This means that when you divide, you get no remainders, no decimals, no fraction
2. Write the number