SOLUTION: sqrt(44)+2sqrt(99)

Algebra ->  Algebra  -> Radicals -> SOLUTION: sqrt(44)+2sqrt(99)      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 174199: sqrt(44)+2sqrt(99)
Answer by jim_thompson5910(14938) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%2844%29%2B2%2Asqrt%2899%29 Start with the given expression


2%2Asqrt%2811%29%2B2%2Asqrt%2899%29 Simplify sqrt%2844%29 to get 2%2Asqrt%2811%29. Note: If you need help with simplifying square roots, check out this solver.


2%2Asqrt%2811%29%2B2%2A3%2Asqrt%2811%29 Simplify sqrt%2899%29 to get 3%2Asqrt%2811%29.


2%2Asqrt%2811%29%2B6%2Asqrt%2811%29 Multiply 2 and 3 to get 6.

Since we have the common term sqrt%2811%29, we can combine like terms


%282%2B6%29sqrt%2811%29 Combine like terms. Remember, 5x%2B3x-4x=%285%2B3-4%29x=4x


8%2Asqrt%2811%29 Now simplify 2%2B6 to get 8


So sqrt%2844%29%2B2%2Asqrt%2899%29 simplifies to 8%2Asqrt%2811%29.


In other words, sqrt%2844%29%2B2%2Asqrt%2899%29=8%2Asqrt%2811%29