Name: ___ Grade/Sec.:
MATH 9
Activity Sheet 2
Multiplication of Radicals
Date:_____ Score:_____

Multiply numbers that are BOTH OUTSIDE the radical.

Multiply numbers that are BOTH INSIDE the radical. Simplify the expression
A.
Determine whether the expression is in simplest form, if not simply.
1.
√19 2. √20 3. √10 4. √48 5. √34
B.
Simplify each expression by factoring to find perfect squares and then taking their root.
√900 √64𝑥 8 15 √49𝑚 4 𝑛 2 3
√−64𝑎 21 𝑏 30
C.
Simplify the following radicals using product rule. (Simplifying Radicals that are not Perfect Squares):
1.
Ex. √20 = √4 • √5 = 2 √5 √12𝑦 5 = √4 • √3 • √𝑦 4 • √𝑦 = 2y 2 √𝟑𝒚
4. √𝑥 13 = √ • √ = __ √ 2.
√45 = √ • √ = __ √
3.
√72 = √ • √ = __ √ 5. √𝑥 10 = √ • √ = __ √
4.
√81 = √ • √ = __ √ 6. √45𝑥 7 = √ • √ • √ • √ = __ √
D.
Simplify. Assume all variables are positive.
√15 • √6 √16 • √5 √14 • √35
3
√4𝑎 4 • √10𝑎 5
3 √10 • √20
3
−5√10𝑥 4 •
3
√5𝑥 3 −2√6𝑥 3 • √8𝑥 3 3√3𝑥 • 5√6𝑥 2
√6𝑚
4
• √6𝑚
4√32𝑥 10
3
•
4
√81𝑥 8 bcd2019