What are the two steps for simplifying radicals
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.
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.
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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