Adding and Subtracting Simplifying Radical and Rational Expressions

For the following problem, what operation will you use on the exponents?

• Multiply

• Add

• Subtract

• Nothing

Simplify completely.

• 13

• 7 + 2√6

• 13 + 8√6

• 8√6

What is the process in which one eliminates radicals from the denominator or fractions from radicands.

• Rationalizing the denominator

• Conjugates

• The Principal Root

• Combining Like Expressions

Select all that are necessary when simplifying radicals

• The index must be as small as possible.

• The radicand contains no factors that are nth powers.

• The radicand contains no fractions

• No radicals appear in the denominator

In the picture, the "3" is called...

• the index

• the radical sign

• the radicand

• none

Add

• A.

• B.

• C.

• D.

• A

• B

• C

• D

• A
• B
• C
• D

• A.

• B.

• C.

• D.

Simplify the rational expression.

• 6

  ----

  5x

• (x - 4)

  -------

  (x - 2)

• (x + 3)

  --------

  (x + 2)

• (x + 3)

  --------

  (x - 4)