Question 1135941: If x=√5+√3 then the value of x-1/x will be
0.5(√5+3√3)
0.5(3√5+2√3)
None Found 2 solutions by Boreal, Alan3354:Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! this is the same as (x^2-1)/x
That is 5+3+2 sqrt(15)-1 divided by sqrt (5) +sqrt (3)
multiply (7+2 sqrt(15) by the conjugate of the denominator sqrt(5)- sqrt(3). Multiply the denominator by the conjugate.
This will yield 7 sqrt(5)-7 sqrt(3)+10 sqrt(3)-2 sqrt (45) divided by 2
The numerator simplifies to 3 sqrt(3)+ sqrt(5)
The denominator is 2
the answer is 0.5 (sqrt (5)+3 sqrt (3))
