Question

Simplify, show work please
√18
----
√54

Answer 1

1/Sqrt(3)

Answer 2

\[3\sqrt{2}/3\sqrt{6}\]

Answer 3

\[3\sqrt{2}/3\sqrt{3}\sqrt{2}\]

Answer 4

cancel out common factors that exist in both numerator and denominator.

Like the 3, and the sqrt 2 This leaves

1/\[1/\sqrt{3}\] This is not considered "good form" (a radical in the denominator so multiply both numerator and denominator by sq rt of 3
\[\sqrt{3}/3\] or 1/3 sqrt 3

Answer 5

did you follow, I tried to show work.

Answer 6

I am standing by for any questions or clarification

Answer 7

I just noted that I did not show how the original numbers were changed.
18 is the same as 9 x 2. Well 9 is a perfect square with a square root of 3 which can be removed from the radical leaving only the 2 in the radical. Comphrendo?

Answer 8

the 54 is the same as 9 times 6 and the same procedure can be followed leaving only the 6 inside the radical.