Simplifying radicals numbers
Simplify √25
5
What is the 1st step of simplifying a radical?
Find the Prime Factors
True or False: You can add radicals as long as the radicands are different.
False, you can only add them if they are the same.
4√6 + 3√6
7√6
Simplify √36
6
Where do the pairs of factors go in relation to the radical?
Outside the radical
If you have an addition problem with two radicals that have different radicands, what is the first step?
i.e if asked to add radical 3 and radical 27
Check if you can simplify the radicals
3√8 + 6√2
12√2
Simplify √49
7
Where do the singular or isolated factors go in relation to the radical? I.e. Square root of 20 simplifies to 2, 2, and 5 ... where does the 5 go?
Inside or underneath the radical
√3 + √5 =
√3 + √5
-10√75 + 2√3
-50√3+ 2√3 = -48√3
Simplify √384
8√6
Simplify √225
15
What happens if you have more than one pair when simplifying radicals?
You multiply them outside of the radical
Simplify: √24 + 3√6
2√6 + 3√6= 5√6
√125 + 3√8
cannot be added but is simplified to 5√5 + 6√2
Simplify √196
14
When you first begin to simplify the number 64 it breaks down to 8 and 8. This makes the number 64 a...
Perfect Square
-3√3+ √27
0
Simplify: √x2 + 4x =
5x