Simplify the radical: /

Split up the top and bottom into factors and cancel out any common factors.

While we do these problems, it is important to remember this rule:



First, we will split up the top.



We can't do anything with the square root of 5 because it is in it's simplest form. But, we can still split up the square root of



Now we can simplify.





The top is done, now for the bottom one.



We can't simplify either the square root of 10 or the square root of x.
So, the top is done, too.

Find any common factors and cancel them out.



Well, I can't find any common factors to cancel out, but, we can still simplify it further.

There is another law regarding radical expressions:



Using this, simplify the expression further.





So, now it is in it's simplest form.

So the first thing we do is to multiply the top equation by 3. the reason i want to do this is i notice there will be a 6y on both equations and can possibly add/subtract them. so we get 6y = -3x + 27. adding that and the second equation we get 6x = 27-15 which is 12. divide by 6 and we get 2. ∴ x = 2. substituting 2 into the first equation we get 2y = -2 + 9 which is 7. divide by 2 and we get 7/2. ∴ y = 7/2, x = 2.