sertdxcbh

1. C
OPERATIONS ON
RADICALS
Addition and Subtraction

2. PROVERBS 11:28 (NIV)
“ Those who trust in their
riches will fall, but the
righteous will thrive like a
green leaf”.

3. Learning Targets
At the end of this lesson, I can:
•performs operations on radical expressions
•solves equations involving radical expressions.

4. Similar Vs. Dissimilar
• Similar radicals are radicals that have the same index and the same
radicand.
• Dissimilar radicals are radicals that have different index and radicand.
𝑆𝑖𝑚𝑖𝑙𝑎𝑟 𝑅𝑎𝑑𝑖𝑐𝑎𝑙𝑠
𝑥, 4 𝑥, 5 𝑥
3
𝑥, 4 𝑦, 5 𝑥 𝐷𝑖𝑠𝑠𝑖𝑚𝑖𝑙𝑎𝑟 𝑅𝑎𝑑𝑖𝑐𝑎𝑙𝑠

5. Activity

6. Adding and Subtracting Radicals
• Expressions that contain like radicals can be combined by
addition and subtraction using the distributive property.
=(3 − 5) 2
3 2 − 5 2 = −2 2
=(2 − 1 + 3) a
2 𝑎 − 𝑎 + 3 𝑎 = 4 a

7. Adding and Subtracting Radicals
(6 3𝑎
6 3𝑎 − 2 𝑎 + 3𝑎 + 5 𝑎
+ 3𝑎)
𝟑 𝒂
7 𝟑𝒂
(−2 𝑎 +5 𝑎)
+
+

8. Adding and Subtracting Radicals
4 ∙ 2
8 + 18 − 32
+ 9 ∙ 2
(𝟐 + 𝟑 − 𝟒) 𝟐
𝟐
− 16 ∙ 2
2
+
𝟐 3 -
𝟐 4 𝟐

9. Adding and Subtracting Radicals
4𝑎2 ∙ 3𝑎
12𝑎3 − 300𝑎3
(𝟐𝒂 − 𝟏𝟎𝒂) 𝟑𝒂
𝟐𝒂
− 100𝑎2 ∙ 3𝑎
−8𝑎 3𝑎
𝟑𝒂 - 10𝑎 𝟑𝒂

10. Activity 2
1. A triangular frame measures 3 2 𝑚 on two sides
and 4 2 𝑚 on the base. Find its perimeter.
2. The length of a rectangle is 5 48 cm and its width
is 4 27 cm. Find its perimeter