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

Question 1110664: sqrt (16+8sqrt (3)). Make it in the form of a+b sqrt (3)
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

 = .


To get this answer, write first

 = .


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.

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