SOLUTION: square root of 32

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Question 106745: square root of 32
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: Simplifying Square Roots (whole numbers only)
Start with the given expression


The goal of simplifying expressions with square roots is to factor the radicand into a product of two numbers. One of these two numbers must be a perfect square. When you take the square root of this perfect square, you will get a rational number.

So let's list the factors of 32

Factors:

1, 2, 4, 8, 16, 32



Notice how 16 is the largest perfect square, so lets factor 32 into 16*2





Factor 32 into 16*2



Break up the square roots using the identity



Take the square root of the perfect square 16 to get 4



So the expression simplifies to



----------------------------
Check:

Notice if we evaluate the square root of 32 with a calculator we get





and if we evaluate we get





This shows that . So this verifies our answer

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