MAT222: Algebra Discussion

MAT222: Intermediate Algebra

Simplifying Radicals

In this discussion, you will simplify and compare equivalent expressions written both in radical form

and with rational (fractional) exponents. Please complete the following problems according to your

assigned number.

D

o the following

problem

D

o the following problem

5

1/4

5

-

1/4

·

Simplify each expression using the rules of exponents and examine the steps you are taking.

·

Incorporate the following five math vocabulary words into your

discussion. Use

bold

font to

emphasize the words in your writing. Do not write definitions for the words; use them

appropriately in sentences describing the thought behind your math work.

§

Principal root

o

Product rule

o

Quotient rule

o

Reciprocal

o

n

th root

Refer

to

Inserting Math Symbols

for guidance with formatting. Be aware with regards to the square

root symbol, y

ou will notice that it only shows the front part of a radical and not the top bar. Thus, it is

impossible to tell how much of an expression is included in the radical itself unless you use

parenthesis. For example, if we have

v

12 + 9 it is not enough for u

s to know if the 9 is under the

radical with the 12 or not.

Therefore, we must specify whether we mean it to say

v

(12) + 9

or

v

(12

+ 9), as there is a big

difference

between the two. This distinction is important in your notation.

Another solution is to

type the letters “sqrt” in place of the radical and use parenthesis to indicate

how much is included in the radical as described in the second method above. The example above

would appear as either “sqrt(12) + 9” or

“sqrt(12 + 9)” depending on what we ne

eded it to say.

Your initial post should be at least 250 words in length. Support your claims with examples from

required material(s) and/or other scholarly resources, and properly cite any references.

MAT222: Intermediate Algebra

Simplifying Radicals

In this discussion, you will simplify and compare equivalent expressions written both in radical form

and with rational (fractional) exponents. Please complete the following problems according to your

assigned number.

Do the following

problem

Do the following problem

5

1/4

5

-1/4

 Simplify each expression using the rules of exponents and examine the steps you are taking.

 Incorporate the following five math vocabulary words into your discussion. Use bold font to

emphasize the words in your writing. Do not write definitions for the words; use them

appropriately in sentences describing the thought behind your math work.

 Principal root

o Product rule

o Quotient rule

o Reciprocal

o nth root

Refer to Inserting Math Symbols for guidance with formatting. Be aware with regards to the square

root symbol, you will notice that it only shows the front part of a radical and not the top bar. Thus, it is

impossible to tell how much of an expression is included in the radical itself unless you use

parenthesis. For example, if we have v12 + 9 it is not enough for us to know if the 9 is under the

radical with the 12 or not. Therefore, we must specify whether we mean it to say v(12) + 9 or v(12

+ 9), as there is a big difference between the two. This distinction is important in your notation.

Another solution is to type the letters “sqrt” in place of the radical and use parenthesis to indicate

how much is included in the radical as described in the second method above. The example above

would appear as either “sqrt(12) + 9” or “sqrt(12 + 9)” depending on what we needed it to say.

Your initial post should be at least 250 words in length. Support your claims with examples from

required material(s) and/or other scholarly resources, and properly cite any references.