ISEE Middle Level Quantitative : How to find the square root
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Example Questions
Example Question #21 : Squares / Square Roots
Simplify the below:
When breaking down a radical, we first want to find the largest perfect square that might be a factor for the number under the radical.
We start with 4, 9, 16, 25 etc. until we find which one is a factor.
In this case, 4 is a factor of 24.
We can now break down the radical to become:
The square root of 4 becomes 2 and the square root of 6 will not break down any further, this leads us to the answer below:
Example Question #22 : Squares / Square Roots
Simplify:
When breaking down a square root, we must first find the largest perfect square factor that goes into the number under the radical; starting with 4, 9, 16, 25, 36 etc.
In this case, 36 will go into 72, 2 times.
Which reduces the radical to the below:
We can then simplify square root 36 to become 6 and we get:
When we multiply with a radical, only the numbers outside the radical are multiplied.
Example Question #23 : Squares / Square Roots
Simplify the below:
We must first simplify each radical by finding the largest perfect square that will go into each number starting with 4, 9, 16, 25 etc.
For 12, the perfect square of 4 is a factor.
For 27, the perfect square of 9 is a factor.
Simplifying both square roots gives us:
Simplifying the above becomes:
Both parts of this expression contain a radical 3 which means they are like terms which can be added.
When we add the 2 and the 3 we get the below:
Example Question #24 : Squares / Square Roots
Which of the following is equal to 
Solve each exponent:
Find the sum:
Find the square root:
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