What are the two steps for simplifying radicals

1
Identify perfect-square factors of any numbers underneath the radical sign. A perfect square is a number that has a whole-number square root. [ For example, in the expression, ?8, 8 is not a perfect square, but you can write it as perfect-square factors of 8 so the expression looks like this: ?(4 x 2).Remove the perfect square number from the radicand by finding its square root. The radicand

includes all the numbers underneath the radical sign.
In the expression, ?(4 x 2), 4 can be removed because it has a whole-number square root.Multiply the remaining radical expression by the square root.
The example expression would look like this: 2?2. Since 2 is not a perfect square, this expression can't be simplified any further.
4
Combine similar radical expressions. If radical terms in an expression have the same radicand, you can combine the radical terms.
For example, 2?2 + 3?2 is the same as 5?2.
5
Put fractions with radicals in simplest terms.
Consider the expression (4 - ?8)/2.
In its current form, the fraction can't be simplified because both terms in the numerator can't be divided by 2. However, if you simplify the radical, you find that ?8 = 2?2.
Now the expression looks like this: (4 - 2?2)/2. The fraction isn't in its simplest form because you're able to eliminate the denominator by dividing both terms in the numerator by 2.
The simplified expression looks like this: 2 - ?2.
Read more: How to Simplify Radicals for Algebra 2 Step by Step | eHow.com ]

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