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Mulltiplication of radicals

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MATH 9
Activity Sheet 2
Multiplication of Radicals
Name:
___ Grade/Sec.:
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
3
3
√49𝑚4 𝑛2
√−32𝑦15
√64𝑥 8
√−64𝑎21 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 = 2y2√𝟑𝒚
2. √45 = √
•√
= __ √
4. √𝑥 13 = √
3. √72 = √
•√
= __ √
5. √𝑥 10 = √
•√
= __ √
6. √45𝑥 7 = √
3
4. √81 = √
3
•√
= __ √
•√
= __ √
•√
•√
•√ = __ √
D. Simplify. Assume all variables are positive.
√15 •√6
√16 •√5
−2√6𝑥 3•√8𝑥 3
3√3𝑥 •5√6𝑥 2
3
√6𝑚 •√6𝑚3
3√10 •√20
√14 •√35
3
√4𝑎4 • √10𝑎5
3
3
−5 √10𝑥 4 • √5𝑥 3
4
4
4 √32𝑥 10 • √81𝑥 8
bcd2019
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