- anonymous

Does anyone know anything about square roots

- jamiebookeater

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- anonymous

http://www.purplemath.com/modules/radicals.htm

- angela210793

Wht do u want to know?

- amistre64

tubers and such?

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## More answers

- anonymous

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

- amistre64

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

- anonymous

yeah

- amistre64

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

- amistre64

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

- anonymous

yeah

- anonymous

that's it

- amistre64

and you want to "simplify" perhaps?

- anonymous

yeah

- amistre64

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

- amistre64

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

- amistre64

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

- amistre64

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

- anonymous

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

- anonymous

is that it...

- amistre64

thats as far as I can see to take it

- anonymous

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

- amistre64

sqrt(filler) is more readable

- amistre64

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

- anonymous

yeah

- 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

- amistre64

what does sqrt(9) equal?

- anonymous

is it 3

- 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

- anonymous

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

- anonymous

ok.. i think i get it

- anonymous

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

- anonymous

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

- 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

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