SOLUTION: √432 in lowest radical form
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Question 340456: √432 in lowest radical form
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
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 432
Factors:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Notice how 144 is the largest perfect square, so lets factor 432 into 144*3
Factor 432 into 144*3
Break up the square roots using the identity
Take the square root of the perfect square 144 to get 12
So the expression simplifies to
----------------------------
Check:
Notice if we evaluate the square root of 432 with a calculator we get
and if we evaluate we get
This shows that . So this verifies our answer
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