SOLUTION: I was hoping you guys could help me with this problem. {{{ -4 *sqrt(25n) + 2* sqrt(81n) + sqrt(700n) }}} thanks!

Algebra ->  Radicals -> SOLUTION: I was hoping you guys could help me with this problem. {{{ -4 *sqrt(25n) + 2* sqrt(81n) + sqrt(700n) }}} thanks!      Log On


   

Question 37748: I was hoping you guys could help me with this problem.
+-4+%2Asqrt%2825n%29+%2B+2%2A+sqrt%2881n%29+%2B+sqrt%28700n%29+
thanks!
Answer by junior403(76) About Me  (Show Source):
You can put this solution on YOUR website!
When adding and subtracting radical expressions we first need to simplify...
+-4+%2Asqrt%2825n%29+%2B+2%2A+sqrt%2881n%29+%2B+sqrt%28700n%29+
(from left to right)
The square root of 25 is 5 so the first expression can be simplified as...
+-4%2A5%2Asqrt+%28n%29=+-20%2Asqrt+%28n%29
Then, in the second expression the square root of 81 = 9 which can be simplified as...
+2%2A9%2Asqrt%28n%29+=+18%2Asqrt%28n%29+
And in the third expression 700 = 7 * 100, and 100 12 equal to 10%5E2
So it can be simplified as...
+10%2Asqrt%287n%29+
So if we put the three expressions back into the equation we get...
+-20%2Asqrt+%28n%29+%2B+18%2Asqrt%28n%29+%2B+10%2Asqrt%287n%29
Now we can combine like terms.
Remember that we can only add and subtract radical expression that contain the same base and index.
So...
+-20%2Asqrt+%28n%29+%2B+18%2Asqrt%28n%29+%2B+10%2Asqrt%287n%29=-2%2Asqrt+%28n%29+%2B+10%2Asqrt+%287n%29
And...
-2%2Asqrt+%28n%29+%2B+10%2Asqrt+%287n%29
Is the most this problem can be simplified.
I hope this helps!
Good Luck!