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# Mulltiplication of radicals

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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

2.

√45 = √

3.

√72

= √

= __

= __

4. √𝑥

13

= √

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