Ppt on Adding and subtracting radicals

1. ADDITION
AND
SUBTRACTION
OF RADICALS
March 11, 2024

2. 48
16
Activity:
fruit basket
18

3. 5 3
+

4. 8

5. 6 4
+

6. 10

7. 7 5
+

8. 7 5
and
Still…

9. Just like apples and oranges,
when adding and subtracting
radicals, do you think it is
important to consider that the
radical expressions are the
same?

10. Activity:
radploration

11. 1. Read the problem and the guide questions
carefully.
2. Answer the task within 3 minutes only.
3. Write the given problem and your answers in a
manila paper.
4. Choose a representative to present your answers.
Instruction:

12. presentation

13.  Combine like radicals by adding or subtracting their coefficients
and copy their common radicands.
WHEN ADDING/ SUBTRACTING
RADICAL:
 If the radicals are not written in the simplest form, simplify first
the expression. Then, perform the addition or subtraction.
 If the unlike radical expression is already simplified, we can just
copy the expression

14. Activity:
LET’S DO THE
MATH

15. Perform the indicated operation.
1. 4 3 + 5 3
2. 2 7x + 8 7x
3. 27 + 4 12
4. 5 2 − 18
5. 13 5 − 9 5
6. 4 3 − 9
3
7

16. Find the perimeter of the
lot with sides measuring
5 3 m, 7 3 𝑚,
4 3 𝑚, 𝑎𝑛𝑑 2 3 m.

17. Let’s
wrap it
up!

18. 16
ANSWER KEY
radicals with the same index and radicand.
18
LIKE RADICALS
UNLIKE RADICALS
-radicals with the same index, but different radicand;
16
18
-radicals with different index and different radicand.

19.  Combine like radicals by adding or subtracting their coefficients
and copy their common radicands.
WHEN ADDING/ SUBTRACTING
RADICAL:
 If the radicals are not written in the simplest form, simplify first
the expression. Then, perform the addition or subtraction.
 If the unlike radical expression is already simplified, we can just
copy the expression

20. ACTIVITY:
BOARD WORK

21. 1. 4 2 + 5 2
2. 2
3
6 + 11
3
6
3. 27 + 4 12
4. 5 2 − 18
5. 13 5 − 9 5
6. 4 3 − 9
3
7
Perform the indicated operation.

22. Ms. Villar owns a lot
whose sides measure 5 18
m, 3 32 𝑚, 2 50 𝑚,
𝑎𝑛𝑑 8 2 m. Find the
perimeter.

23. Keep Learning!