Does anyone know anything about square roots

Question

anonymous · Answer

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

angela210793 · Answer

Wht do u want to know?

amistre64 · Answer

tubers and such?

anonymous · Answer

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

amistre64 · Answer

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

anonymous · Answer

yeah

amistre64 · Answer

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

amistre64 · Answer

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

anonymous · Answer

yeah

anonymous · Answer

that's it

amistre64 · Answer

and you want to "simplify" perhaps?

anonymous · Answer

yeah

amistre64 · Answer

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

amistre64 · Answer

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

amistre64 · Answer

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

amistre64 · Answer

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

anonymous · Answer

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

anonymous · Answer

is that it...

amistre64 · Answer

thats as far as I can see to take it

anonymous · Answer

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

amistre64 · Answer

sqrt(filler)  is more readable

amistre64 · Answer

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

anonymous · Answer

yeah

amistre64 · Answer

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 · Answer

what does sqrt(9) equal?

anonymous · Answer

is it 3

amistre64 · Answer

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 · Answer

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

anonymous · Answer

ok.. i think i get it

anonymous · Answer

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

anonymous · Answer

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

amistre64 · Answer

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