SOLUTION: What is 18 + the square root of 567 over 9 equal?
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Question 86162: What is 18 + the square root of 567 over 9 equal?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First lets reduce
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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. This way the perfect square will become a rational number.
So let's list the factors of 567
Factors:
1, 3, 7, 9, 21, 27, 63, 81, 189,
Notice how 81 is the largest perfect square, so lets break 567 down into 81*7
Factor 567 into 81*7
Break up the square roots using the identity
Take the square root of the perfect square 81 to get 9
So the expression
simplifies to
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Simplify the square root (using the technique above)
Break up the fraction
Divide to get 2
Divide to get 1
So the expression
Simplifies to
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