SOLUTION: {{{sqrt(63)+ sqrt(252)}}} how do you solve this? how do you do the square root sign on the computer?

Algebra ->  Test  -> Lessons -> SOLUTION: {{{sqrt(63)+ sqrt(252)}}} how do you solve this? how do you do the square root sign on the computer?      Log On


   



Question 142234: sqrt%2863%29%2B+sqrt%28252%29
how do you solve this?
how do you do the square root sign on the computer?

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

sqrt%2863%29%2B+sqrt%28252%29

Break 63 into primes as 3%2A3%2A7
Break 252 into primes as 2%2A2%2A3%2A3%2A7

sqrt%283%2A3%2A7%29%2B+sqrt%282%2A2%2A3%2A3%2A7%29

Now since the index of a square root is 2,
use parentheses to group like factors into pairs:

sqrt%28%283%2A3%29%2A7%29%2B+sqrt%28%282%2A2%29%2A%283%2A3%29%2A7%29 

Each pair of like factors is a square and comes
out in front of the radical as just a single
factor:

3%2Asqrt%287%29%2B+2%2A3%2Asqrt%287%29


3%2Asqrt%287%29%2B+6%2Asqrt%287%29

Those are like terms, so add 3+6 and get

9%2Asqrt%287%29

Edwin

how do you do the square root sign on the computer?


You type three open braces " { " in a row. I can't
type three of those here because the program would 
just print it again as sqrt%2863%29%2B+sqrt%28252%29.

Then you type immediately after that:

     sqrt(63)+ sqrt(252)

and immediately follow that by three close braces:

             " }}} "

Edwin