SOLUTION: Simplify {{{2*sqrt(12)-2*sqrt(36)}}}{{{""=""}}}

Algebra ->  Square-cubic-other-roots -> SOLUTION: Simplify {{{2*sqrt(12)-2*sqrt(36)}}}{{{""=""}}}      Log On


   

Question 1044885: Simplify 2%2Asqrt%2812%29-2%2Asqrt%2836%29%22%22=%22%22
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!


Use two principles of square roots:

1. sqrt%28A%2AB%29%22%22=%22%22sqrt%28A%29%2Asqrt%28B%29, if A and B are real and non-negative.

2. sqrt%28A%5E2%29%22%22=%22%22A if A is real and non-negative

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2%2Asqrt%2812%29-2%2Asqrt%2836%29%22%22=%22%22

2%2Asqrt%284%2A3%29-2%2Asqrt%286%5E2%29%22%22=%22%22

2%2Asqrt%284%29%2Asqrt%283%29-2%2A6%22%22=%22%22

2%2Asqrt%282%5E2%29%2Asqrt%283%29-12%22%22=%22%22

2%2A2%2Asqrt%283%29-12%22%22=%22%22

4%2Asqrt%283%29-12

Edwin