Simplifying Radicals
In this discussion, you will simplify and compare equivalent expressions written both in radical form and with rational (fractional) exponents.
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 1/45-1/4 |
· 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
· Product rule
· Quotient rule
· Reciprocal
· 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 √12 + 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 √(12) + 9 or √(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.
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.