SOLUTION: Add. Simplify by collecting like radical terms, if possible. 2Sqroot50 + 8Sqroot2.

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Question 242564: Add. Simplify by collecting like radical terms, if possible.
2Sqroot50 + 8Sqroot2.
Found 2 solutions by nyc_function, College Student:
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
2Sqroot50 + 8Sqroot2.
2(sqrt{50}) + 8(sqrt{2})
sqrt{50} becomes 5(sqrt{2})
We now have 2 * 5(sqrt{2})+ 8(sqrt{2}) = 10(sqrt{2})+ 8(sqrt{2})
10(sqrt{2})+ 8(sqrt{2}) = 18(sqrt{2})

Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
Problem: 2sqrt%2850%29%2B8sqrt%282%29
.
Let's make the first term have the same square root as the second so we can then add the terms. Here's how to do it:
Let's take a look at the square root of 50 and square root of 2. Can we divide 50 by 2? Yes, it's 25.
Therefore, we can say sqrt%2850%29 = sqrt%2825%2A2%29
We can further say that sqrt%2825%2A2%29 = sqrt%2825%29%2Asqrt%282%29.
Therefore, we can change the original expression to:
2%28sqrt%2825%29%2Asqrt%282%29%29%2B8sqrt%282%29
Now, does 25 have a square root? Yes, it's 5. So we get:
%282%2A5%29sqrt%282%29%2B8sqrt%282%29
10sqrt%282%29%2B8sqrt%282%29
18sqrt%282%29 <--- this is our final expression.