ACT Math : Factoring Squares
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Example Questions
Example Question #1 : Factoring Squares
Which real number satisfies 
Simplify the base of 9 and 27 in order to have a common base.
(3x)(9)=272
= (3x)(32)=(33)2
=(3x+2)=36
Therefore:
x+2=6
x=4
Example Question #2 : Factoring Squares
Which of the following is a factor of 
The terms of 
Of the five choices, only 
Example Question #1 : Factoring Squares
Simplify 
The easiest way to approach this problem is to break everything into exponents. 
Example Question #1 : Factoring Squares
Which of the following expression is equal to
When simplifying a square root, consider the factors of each of its component parts:
Combine like terms:
Remove the common factor, 
Pull the 
Example Question #1 : How To Factor A Common Factor Out Of Squares
Which of the following is equal to the following expression?
First, break down the components of the square root:
Combine like terms. Remember, when multiplying exponents, add them together:
Factor out the common factor of 
Factor the 
Combine the factored 
Now, you can pull 
Example Question #1 : Factoring Squares
Which of the following expressions is equal to the following expression?
First, break down the component parts of the square root:
Combine like terms in a way that will let you pull some of them out from underneath the square root symbol:
Pull out the terms with even exponents and simplify:
Example Question #12 : Squaring / Square Roots / Radicals
What is,
To find an equivalency we must rationalize the denominator.
To rationalize the denominator multiply the numerator and denominator by the denominator.
Factor out 6,
Extract perfect square 9 from the square root of 18.
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