All SSAT Middle Level Math Resources
Example Questions
Example Question #16 : How To Find The Square Root
Which of the answer choices is equivalent to ?
Recognize that . Since , we can move the outside of the radical sign. This leaves us with .
Example Question #2121 : Ssat Middle Level Quantitative (Math)
13
0
56
14
10
14
If , then .
Therefore, .
Example Question #2121 : Ssat Middle Level Quantitative (Math)
Evaluate:
is undefined.
To find the square root of a fraction, extract the square root of both the numerator and the denominator. Since , , and since , .
Combine these results:
Example Question #14 : Squares / Square Roots
Evaluate:
is an undefined quantity.
, so
.
The square root of a fraction can be determined by taking the square roots of both numerator and denominator. Since , , and since , . Therefore,
.
Example Question #20 : How To Find The Square Root
Note: The square root of a number is the number times itself. For example the square root of 4 is 2 because 2 x 2 = 4 or 2 squared is 4.
Find the square root of
.
So we are looking for a number that when it is squared is equal to 144. At this point you have to take some guesses.
Your getting closer
So it must be between 11 and 13, lets try 12.
So 12 is the answer.
Example Question #21 : How To Find The Square Root
If a square garden has an area of , what is the length of its sides?
To find the area of a square, you must square the length of its sides. So to move backwards to find the side length, you must find the square root of the area. The so the side length is .
Example Question #2124 : Ssat Middle Level Quantitative (Math)
We must first simplify all of the square roots.
Because 7 times 7 =49
Because 4 times 4 =16
Because 5 times 5 = 25
Now we plug all of these into the original equation to get:
The answer is 6!
Example Question #22 : How To Find The Square Root
First we must simplify the square roots.
Because 8 times 8 = 64
Because 2 times 2 = 4
Now we have:
When two parentheses are beside each other, that means muliply.
Example Question #22 : How To Find The Square Root
First we must simplify what is inside the brackets.
Because 4 times 4 = 16.
Now we have:
Again, because 4 times 4 =16.
We can also see that the square root and the squared are inverse operations which mean that they undo each other to get the same thing that we started with.
Example Question #24 : How To Find The Square Root
We must first simplify what is in ().
Since the square root of 25 = 5, we can replace that with 5 to get.
So everything in the () is replaced with (-2)
We know that the square root of 100 equals 10, so we can replace that.
Which simplifies to become:
Which givs us the final answer which is:
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