SOLUTION: A student incorrectly claims that 5+ [sqrt] 2 / [sqrt] 18 = 2 How could you convince the student that a mistake has been made? How would you explain the correct way of ration

Question 363971: A student incorrectly claims that
5+ [sqrt] 2 / [sqrt] 18 = 2
How could you convince the student that a mistake has been made? How would you explain the correct way of rationalizing the denominator? Using the equation editor, correctly show how to work this problem.

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
5+sqrt(2)/sqrt(18)
5+sqrt(2)/3sqrt(2)
5+sqrt(2)/3sqrt(2) * sqrt(2)/sqrt(2)
=(5sqrt(2)+2)/6
=(5sqrt(2))/6 + 1/3
.
Ed
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