SOLUTION: How do you solve: {{{ 5 radical -16 + 3 radical -81 }}}

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Question 202863This question is from textbook college algebra
: How do you solve: +5+radical+-16+%2B+3+radical+-81+ This question is from textbook college algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5%2Asqrt%28-16%29%2B3%2Asqrt%28-81%29 Start with the given expression.


5%2Asqrt%28-1%2A16%29%2B3%2Asqrt%28-1%2A81%29 Factor


5%2Asqrt%28-1%29%2Asqrt%2816%29%2B3%2Asqrt%28-1%29%2Asqrt%2881%29 Break up the roots


5%2Ai%2Asqrt%2816%29%2B3%2Ai%2Asqrt%2881%29 Replace sqrt%28-1%29 with "i"


5%2Ai%2A4%2B3%2Ai%2A9 Take the square root of 16 to get 4. Take the square root of 81 to get 9.


5%2A4%2Ai%2B3%2A9%2Ai Rearrange the terms.


20%2Ai%2B27%2Ai Multiply


47%2Ai Combine like terms.


So 5%2Asqrt%28-16%29%2B3%2Asqrt%28-81%29=47%2Ai