Simplify!
The value of ( 6 + 3 5 ) 2 3 − ( 6 − 3 5 ) 2 3 ( 4 + 1 5 ) 2 3 + ( 4 − 1 5 ) 2 3 can be expressed in the form b a , where a and b are positive, coprime integers. Determine the value of a + b .
This problem was taken from Higher Algebra by Hall & Knight.
The answer is 20.
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2 solutions
can you please do some working, it would really help
Multiply both the denominator and numerator by 2 and express them in the form of (a+b)^2.And then do the necessary simplification to get the answer.
Express the numerator and denominator as a 3 + b 3 and hence factorize them, you will find the ans.