Easy surds
If the value of can be simplified as , what is the value of ?
The answer is 208.
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1 solution
For this question, you may need to know a bit about conjugates. 3 − 2 2 1 6 + 1 8 2 is equivalent to ( 3 − 2 2 ) ( 3 + 2 2 ) ( 1 6 + 1 8 2 ) ( 3 + 2 2 ) . Solving this we get 9 − 8 1 2 0 + 8 6 2 or simply 1 2 0 + 8 6 2 . By adding 120, 86 and 2 we get an answer of 2 0 8 .