SOLUTION: perform the indicated division. rationalize the denominator if necessary then simplify each radical expression 18+square root of 567 over 9

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Question 83443: perform the indicated division. rationalize the denominator if necessary then simplify each radical expression
18+square root of 567
over
9

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
First of all, you have a large number inside the radical that needs to be broken down. Notice that 567 is divisible by 9, and that it is actually 9*63. This means that it can be written as 9*9*7.

Here is your problem:
+%2818%2Bsqrt%28567%29%29%2F9
+%2818%2Bsqrt%2881%29%2Asqrt%287%29%29%2F9
+%2818%2B9%2Asqrt%287%29%29%2F9

Factor the numerator:
+%289%282%2Bsqrt%287%29%29%29%2F9

Divide out the 9:
2+%2B+sqrt%287%29+

R^2 at SCC