Directions are: Perform the indicated division. Rationalize the denominator if necessary. Then simplify each radical expression.

(18 + sqrt567)/(9)

this is what i got: (41.811761799581315314514541782753)/(9)=4.6457513110645905905016157536393

Your answer is silly. I have about reached my limit. You know well that simplify does not mean use your calculator to punch buttons.

What is 567 divided by 81?

I apologize for the confusion. To evaluate the expression (18 + sqrt567) divided by 9 and simplify the radical expression, we need to divide 567 by 81 and then rationalize the denominator.

To divide 567 by 81, you can simply divide the two numbers:

567 ÷ 81 = 7

Now that we have the simplified result of the division, let's move on to rationalizing the denominator. The denominator is 9, which is already a rational number, so no further rationalization is needed.

Therefore, the simplified expression is:

(18 + sqrt567)/9 = (18 + sqrt(81 * 7))/9

Since sqrt(81) = 9, we can simplify further:

(18 + sqrt567)/9 = (18 + 9 * sqrt7)/9

Now, we can simplify the expression by dividing both the numerator and denominator by 9:

(18 + 9 * sqrt7)/9 = 2 + sqrt7

So, the simplified expression is 2 + sqrt7.