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## anonymous 5 years ago Simplify, show work please √18 ---- √54

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1. anonymous

1/Sqrt(3)

2. radar

$3\sqrt{2}/3\sqrt{6}$

3. radar

$3\sqrt{2}/3\sqrt{3}\sqrt{2}$

4. radar

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

5. radar

did you follow, I tried to show work.

6. radar

I am standing by for any questions or clarification

7. radar

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?

8. radar

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

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