Answer/Discussion on Adding, Subtracting and Multiplying Rational Expressions

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Intermediate Algebra
Answer/Discussion to Practice Problems
on Adding, Subtracting and Multiplying
Radical Expressions

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

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

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

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

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