Multiplying Radical Expressions

To multiply radical expressions (square roots)...
1) Multiply the numbers/variables outside the radicand (square root)
2) Multiply the numbers/variables inside the radicand (square root)
3) Simplify if needed


Examples:

1)Multilying radical expressions img 1

On the outside, 5.3=15 and on the inside, 2.7=14. The radical cannot be simplified further.


2)Multilying radical expressions img 2
On the outside, we only have a 5, so that stays the same (or you can think of it as 5.1). On the inside, 3(6)=18.Multilying radical expressions img 3can be simplified to Multilying radical expressions img 4 Since the 5 and 3 are both on the outside, we finish by multiplying them together.


3)Multilying radical expressions img 5
When variables are involved, we use the same process. Since there were two x's inside, we could take that outside the square root.


Practice: Multiply the radicals.

1)Multilying radical expressions img 6
2)Multilying radical expressions img 7
3)Multilying radical expressions img 8
4)Multilying radical expressions img 9
5)Multilying radical expressions img 10


Answers: 1)Multilying radical expressions img 11 2)Multilying radical expressions img 12 3)Multilying radical expressions img 13 4)Multilying radical expressions img 14 5)Multilying radical expressions img 15

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