SOLUTION: Divide the following: (18 + the square root of 567) /9 Thanks

Question 86825: Divide the following:
(18 + the square root of 567) /9
Thanks
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Divide the following:
.

.
You can split this into two terms as follows:
.

.
The term of 18 divided by 9 is equal to 2. This simplifies the problem to:
.

.
Note that the denominator of 9 is equal to . If we replace the 9 with this
radical the problem now becomes:
.

.
By the rules of radicals we can put both terms under the same radical sign to convert
the problem to:
.

.
and note that 81 goes into 567 exactly 7 times. So replace 567/81 by 7 and the problem
simplifies to:
.

.
Let's check with a calculator. First, the original problem:
.
Square root of 567 = 23.8117618
.
Add 18 to this and you get 41.8117618
.
Divide this total by 9 and the result is 4.645751311
.
Next let's use a calculator to check our answer.
.
The square root of 7 is 2.645751311 and if you add 2 to that you get 4.645751311.
.
The two answers agree, so we have a correct solution to the problem. The original
problem simplifies to
.
Hope this helps you to understand the original problem a little better.
.

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