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Answer/Discussion to 1a

 

Step 1: Simplify the radicals.

 

The first radical is already in simplest form.

 

The 63 in the second radical has a factor that we can take the square root of.  Can you think of what that factor is? Let's see what we get when we simplify the second radical:

 

*Rewrite 63a as (9)(7a) *Use Prod. Rule of Radicals *Square root of 9 is 3

 

Step 2: Combine like radicals.

 

*Combine like radicals

 

(return to problem 1a)

 

 

Answer/Discussion to 1b

 

Step 1: Simplify the radicals.

 

We can take the cube root of the 27 in the first radical:

 

*Use Prod. Rule of Radicals *Cube root of 27 is 3

 

The second radical is already in simplest form.

 

Step 2: Combine like radicals.

 

*Combine like radicals

 

(return to problem 1b)

 

Answer/Discussion to 2a

 

Step 1: Multiply the radical expression AND Step 2: Simplify the radicals.

 

We can apply the FOIL method found in Tutorial 26 (Multiplying Polynomials) to this example:

 

*Use Prod. Rule of Radicals

 

(return to problem 2a)

 

 

Answer/Discussion to 2b

 

Step 1: Multiply the radical expression AND Step 2: Simplify the radicals.

  

Using distributive property twice we get:

 

*Use Prod. Rule of Radicals

 

(return to problem 2b)

 

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Last revised on July 21, 2011 by Kim Seward.
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