SOLUTION: I have been trying to simplify the {{{sqrt(363)}}}, by taking 36 and breaking it down to 6x6 this is the part I get stuck. Help Please.

Algebra ->  Square-cubic-other-roots -> SOLUTION: I have been trying to simplify the {{{sqrt(363)}}}, by taking 36 and breaking it down to 6x6 this is the part I get stuck. Help Please.      Log On


   

Question 314029: I have been trying to simplify the sqrt%28363%29, by taking 36 and breaking it down to 6x6 this is the part I get stuck. Help Please.
Found 2 solutions by scott8148, Edwin McCravy:
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt(363) = sqrt(121) * sqrt(3) = 11 sqrt(3)

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

363 does not involve 36 or 6 at all! Did you just look at the
first two digits 363 and see 36 and think 363 had something to
do with 36?  If so, please forget that idea.  Start by trying to
find the smallest positive integer greater than 1 that will divide
evenly into it, such as 3, you find that 363÷3 = 121 which is the
square of 11 and then you can proceed this way:   

 ___    _____    _____    ___   _      _
Ö363 = Ö121×3 = Ö11²×3 = Ö11²×Ö3 = 11Ö3 

Edwin