All PSAT Math Resources
Example Questions
Example Question #2 :Factoring And Simplifying Square Roots
简化. Assume all variables are positive real numbers.
The index coefficent inis represented by. When no index is present, assume it is equal to 2.under the radical is known as the radican, the number you are taking a root of.
First look for a perfect square,
Then to your Variables
Take your exponents on both variables and determine the number of times our index will evenly go into both.
So you would take out aand would be left with a
*Dividing the radican exponent by the index - gives you the number of variables that should be pulled out.
The final answer would be.
Example Question #1 :Factoring And Simplifying Square Roots
简化. Assume all integers are positive real numbers.
Index ofmeans the cube root of Radican
Find a perfect cube in
简化the perfect cube, giving you.
Take your exponents on both variables and determine the number of times our index will evenly go into both.
The final answer would be
Example Question #1 :How To Simplify Square Roots
简化square roots. Assume all integers are positive real numbers.
简化as much as possible. List all possible answers.
1a.
1b.
1c.
and
andand
andand
andand
andand
When simplifying radicans (integers under the radical symbol), we first want to look for a perfect square. For example,is not a perfect square. You look to find factors ofto see if there is a perfect square factor in, which there is.
1a.
Do the same thing for.
1b.
1c.Follow the same procedure except now you are looking for perfect cubes.
Example Question #3 :Factoring And Simplifying Square Roots
简化
9÷√3
2
3
none of these
not possible
3√3
3√3
in order to simplify a square root on the bottom, multiply top and bottom by the root
Example Question #2 :How To Simplify Square Roots
简化:
√112
20
4√7
10√12
12
4√10
4√7
√112 = {√2 * √56} = {√2 * √2 * √28} = {2√28} = {2√4 * √7} = 4√7
Example Question #3 :How To Simplify Square Roots
简化:
√192
√192 =√2 X√96
√96 =√2 X√48
√48 =√4 X√12
√12 =√4 X√3
√192 =√(2X2X4X4) X√3
=√4X√4X√4 X√3
= 8√3
Example Question #1761 :Psat Mathematics
What is the simplest way to express?
First we will list the factors of 3888:
Example Question #31 :Basic Squaring / Square Roots
简化:
4√27 + 16√75 +3√12 =
4*(√3)*(√9) + 16*(√3)*(√25) +3*(√3)*(√4) =
4*(√3)*(3) + 16*(√3)*(5) + 3*(√3)*(2) =
12√3 + 80√3 +6√3= 98√3
Example Question #1 :How To Simplify Square Roots
简化:
To simplify a square root, you can break the number down into its prime factors using a factor tree. The prime factors of 72 are. Let's take each piece separately.
The square root ofcan be simplified to bewhich is the same as.
The square root ofis.
When you multiply together your answers,
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