## Spartan_Of_Ares 2 years ago @mathstudent55

1. Spartan_Of_Ares

2. mathstudent55

Remember what we did before. Factor the 18 in the radical in the numerator.

3. mathstudent55

Then look at the denominator, what is sqrt(36)?

4. Spartan_Of_Ares

divide by 6 and 6

5. mathstudent55

18 is in a radical. What are the the prime factors of 18? Yes, sqrt(36) = 6

6. Spartan_Of_Ares

3 3 2

7. mathstudent55

You have two factors that are the same. That means you can pull them out of the radical.

8. mathstudent55

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9. mathstudent55

As you know, sqrt(36) = 6. That's in the denomniator. Also as you wrote, 18 = 3 x 3 x 2. That's in the radical in the numerator.

10. mathstudent55

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11. Spartan_Of_Ares

wait wouldnt 3 be outside the radical?

12. Spartan_Of_Ares

nevermind T-T

13. mathstudent55

Right. I didn't take it out yet, but that's correct. sqrt(9) = 3

14. mathstudent55

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15. Spartan_Of_Ares

thats not complete right?

16. mathstudent55

Now the last step is to divide the 3 in the numerator and the 18 in the denominator by the largest number that divides into both.

17. Spartan_Of_Ares

so 3 to get 2/6

18. mathstudent55

3/3 = 1 18/3 = 6

19. mathstudent55

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20. mathstudent55

Not 2/6, but sqrt(2)/6

21. Spartan_Of_Ares

thanks for the help!

22. mathstudent55

wlcm