## anonymous 4 years ago Does anyone know anything about square roots

1. anonymous
2. angela210793

Wht do u want to know?

3. amistre64

tubers and such?

4. anonymous

I have this equation, its 3 square root symbol 27/y^6

5. amistre64

3sqrt(27) -------- ?? y^6

6. anonymous

yeah

7. amistre64

so the y^6 is not part of the radical correct?

8. amistre64

for clarification: $\frac{3\sqrt{27}}{y^6}$

9. anonymous

yeah

10. anonymous

that's it

11. amistre64

and you want to "simplify" perhaps?

12. anonymous

yeah

13. amistre64

sqrt(27) = sqrt(3*3*3) = sqrt(3^2) sqrt(3) = 3sqrt(3) 3*3sqrt(3) 9sqrt(3) --------- = -------- y^6 y^6

14. amistre64

most math notation has something that will undo it; the relationship between sqrt and ^2 cancel each other out

15. amistre64

so if you can determine a value in the sqrt(...) that can be factored as a ^2; go for it

16. amistre64

to make it easier to read: sqrt(27) sqrt(3*3*3) sqrt(3^2) * sqrt(3) 3 * sqrt(3)

17. anonymous

so now, it becomes 9 sqrt(3) ------- y^6

18. anonymous

is that it...

19. amistre64

thats as far as I can see to take it

20. anonymous

ok, cool... i have another one too... its the square root symbol 9x^6 ----- 64y^3

21. amistre64

22. amistre64

sqrt(9 x^6) ---------- ; like thgis? 64 y^3

23. anonymous

yeah

24. amistre64

you should keep in mind that multiplication can split a radical like this: sqrt(9 x^6) sqrt(9) sqrt(x^6) ; now we can work on each of these in their own right

25. amistre64

what does sqrt(9) equal?

26. anonymous

is it 3

27. amistre64

3 it is; and for the x^6 part we have to know something about exponents. sqrt is another name for ^(1/2); which means sqrt(x^6) = x^(6/2) = x^3 altogether we get: 3 x^3 ------ 64 y^3

28. anonymous

ok, so now we try to find the square root of 64; right?

29. anonymous

ok.. i think i get it

30. anonymous

so its 3x^3 ----- 8y^3

31. anonymous

is that the final answer or is there more to simplify?

32. amistre64

if 64 is included in the radical; thats the umbrella of the sqaure root sign, then you would most likely convert it to 8 yes ... otherwise, leave it as is