SOLUTION: hello,im homeschooled and i had a problem solving this expression. can you please check it for me here it is: square root(18)-square root(3)/square root(6) my an

Algebra ->  Square-cubic-other-roots -> SOLUTION: hello,im homeschooled and i had a problem solving this expression. can you please check it for me here it is: square root(18)-square root(3)/square root(6) my an      Log On


   

Question 264925: hello,im homeschooled and
i had a problem solving this expression.
can you please check it for me
here it is:
square root(18)-square root(3)/square root(6)
my answer was: square root(3)-square root(1/2)
is this right or can i simplify it more?
and also
my textbook did not explain these kind of problems very well:
square root(a)+square root(b)/square root (a)-square root(b)
this one is also similar to it:
square root (5)+1/square root(5)-1
THANK YOU FOR ANSWERING!!!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Your 1st answer looks good
You can actually check it on a calculator
sqrt%2818%29+=+4.2426
sqrt%283%29+=+1.7321
sqrt%286%29+=+2.4495
sqrt%28.5%29+=+.7071
%284.2426+-+1.7321%29%2F2.4495+=+1.7321+-+.7071
2.5105%2F2.4495+=+1.025
2.5105+=+2.5107
Looks like a rounding-off error- I could have
used more decimal places
I don't think it can be simplified more
-----------------------------
%28sqrt%285%29+%2B+1%29%2F%28sqrt%285%29+-+1%29
Multiply this fraction by
%28sqrt%285%29+%2B+1%29%2F%28sqrt%285%29+%2B+1%29 which equals 1

This is to get rid of any square roots in the denominator
%28%28sqrt%285%29+%2B+1%29%2A%28sqrt%285%29+%2B+1%29%2F%285+-+1%29%29
%285+%2B+2%2Asqrt%285%29+%2B+1%29%2F4
%28sqrt%285%29+%2B+3%29%2F2 answer
Again, you can check answer with a calculator