SOLUTION: Could I get help with this problem? Simplify the products. (√2+5)(√2+5)

Algebra ->  Square-cubic-other-roots -> SOLUTION: Could I get help with this problem? Simplify the products. (√2+5)(√2+5)      Log On


   

Question 309967: Could I get help with this problem? Simplify the products.
(√2+5)(√2+5)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%282%29%2B5%29%28sqrt%282%29%2B5%29 Start with the given expression.


sqrt%282%29%2Asqrt%282%29%2B5%2Asqrt%282%29%2B5%2Asqrt%282%29%2B5%2A5 FOIL


sqrt%282%2A2%29%2B5%2Asqrt%282%29%2B5%2Asqrt%282%29%2B5%2A5 Combine the roots using the identity sqrt%28x%29%2Asqrt%28y%29=sqrt%28x%2Ay%29


sqrt%284%29%2B5%2Asqrt%282%29%2B5%2Asqrt%282%29%2B25 Multiply


2%2B5%2Asqrt%282%29%2B5%2Asqrt%282%29%2B25 Take the square root of 4 to get 2.


27%2B10%2Asqrt%282%29 Combine like terms.


So %28sqrt%282%29%2B5%29%28sqrt%282%29%2B5%29=27%2B10%2Asqrt%282%29