Question 887208
i believe you mean simplify the expression.


start with sqrt(50) + sqrt(10)


since 10 = 2 * 5 and 50 = 5 * 10 = 5 * 2 * 5, your expression becomes:


sqrt(5 * 2 * 5) + sqrt(2 * 5) which becomes:


sqrt(5^2 * 2) + sqrt(2 * 5) which becomes:


sqrt(5^2) * sqrt(2) + sqrt(2) * sqrt(5) which becomes:


5 * sqrt(2) + sqrt(2) * sqrt(5).


factor out the common term of sqrt(2) and you get:


sqrt(2) * (5 + sqrt(5)


confirm by evaluating sqrt(50) + sqrt(10) and comparing it to the evaluation of sqrt(2) * (5 + sqrt(5)) to see if you get the same answer from both.


sqrt(50) + sqrt(10) = 10.23334547


sqrt(2) * (5 + sqrt(5)) = 10.23334547


they're the same so the simplification problem is successful.