Download 10.2 NOTES - Adding and Subtracting Radicals Name Date Radical

10.2 NOTES - Adding and Subtracting Radicals
Name ______________________________________
Radical: √
Also known as a
Radicand: √
Date _______________
Square Root
the number under the radical
In order to add or subtract radicals, the number under
We learned how to combine like terms: 2x + 3x = 5x
the radical must be
10y – 3y =
7y
the same
.
3x + 4x – 6 = 7x − 6
When you add or subtract radicals that are the same, you add or subtract the numbers outside
radical
Example:
2√ + 3√ =
10√ − √ = 7√
5√
10√ − √
= 7√ + 7
You cannot combine the numbers outside the radical if the radicals are not
like terms.
Example:
2x + 3y =
2x + 3y
2√ + 3√ = 2√ + 3√
NOW YOU TRY:
1. 3√
2. 11√
3√ =
3. 5√ + 6√ =
4. 11√
3√ =
√ + 2√ =
6. 15√
5√ =
8. 2√
4√
5.
+ 10√
=
7. 8√ + √ =
9. √
+ 7√
=
10. 10√
√ =
=
the
Practice:
1. 5√ + 10√
√
2. 9√ + 4√ + √ = 10√ + 4√
18√
3. 8√ + 9 + 9√ = 17√ + 9
5. 2√
3√ + 4√
= 6√
7. -6√
6√ + 3√ = -3√
4. 5√ + 4√
- 3√
6. 4√
6√
8. 2√
√ = 4√ + 4√
9√ = -5√ + 3
√ + 5√ = 2√ -7√