1. 5 + 5 = 𝟐 𝟓
3
3
𝟑
2. 16 + 16 = 𝟐 𝟏𝟔
3.-6 3 + 3 = −𝟓 𝟑
4. 8 + 18 =
4(2) + 9(2) = 2 2 + 3 2 = 𝟓 𝟐
1.5 5 − 2 5 = 𝟑 𝟓
3
3
𝟑
2.9 16 − 6 16 = 𝟑 𝟏𝟔
3.-6 3 − 3 = −𝟕 𝟑
4. 8 − 18 = 4 2 −
9(2) = 2 2 - 3 2 = −𝟏 𝟐
1. 2 •
3= 𝟔
2.6 3 • −2 3 = −12 9 = −12 3 = −𝟑𝟔
3
3
𝟑
3.3 5 • 5 2 = 𝟏𝟓 𝟏𝟎
4
4
4. 7 • 2 =
𝟒
𝟏𝟒
3
4
1. 3 • 3 = 3
2. 2 •
7
6
2 =
6
3
1 1
+
4 3
=3
4 = 2 •
27
𝟔
= 𝟏𝟐𝟖
3
7
12
=
12
37
1
2
=
2
3
𝟏𝟐
𝟐𝟏𝟖𝟕
1 2
+
2 3
22 = 2 • 2 = 2
=
1.Simplify all radicals.
2.Combine like radicals by
combining the coefficients of
the radical term.
3.Perform the operation (either
addition or subtraction)
1. Multiply the coefficients.
2. Multiply the radicands.
3. Simplify the radical.
1.When the indices differ, multiply the radicals
with the help of rational exponents.
2. Express the exponents as similar fractions
3. Rewrite it into the form √(n&a^x ) as a
single expression.
4.4. Then, perform the operation and simplify.
5. Multiply the coefficients.
6. Multiply the radicands.
7. Simplify the radical.
3
• 30 • 8 10 •
•
•
15
• − 6
• 2 11
• 3 4
• 2+ 2 4 • 5
• 3 4
• 2+ 2 4
12
2187 • 3 10
54
• 2 1
• 9
• −11 3
• 1
• 5 3𝑥
3
Direction: Perform the indicated
operation on the given radical
expressions
1.5 7 − 2 7
3
3
2.9 3 + 6 3
3. 2 • 5
3
4. 3 • 2