SOLUTION: sqrt (16+8sqrt (3)). Make it in the form of a+b sqrt (3)

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Question 1110664: sqrt (16+8sqrt (3)). Make it in the form of a+b sqrt (3)
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
sqrt%2816%2B8%2Asqrt%283%29%29 = 2+%2B+2%2Asqrt%283%29.


To get this answer, write first

sqrt%2816%2B8%2Asqrt%283%29%29 = a+%2B+b%2Asqrt%283%29.


Then square both sides and analyse separately the integer (rational) part and irrational part.

You may check the final answer manually by squaring both sides.

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Look into the lessons
    - Calculations of expressions containing square roots
    - Prove that two irrational numbers are equal
    - Is this number rational or irrational?
in this site.  You will find tons and Mega-tons of similar solved problems there.