SOLUTION: If x=√5+√3 then the value of x-1÷x will be 0.5(√5+3√3) 0.5(3√5+2√3) 0.5(√5+2√3) None

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: If x=√5+√3 then the value of x-1÷x will be 0.5(√5+3√3) 0.5(3√5+2√3) 0.5(√5+2√3) None      Log On


   

Question 1133685: If x=√5+√3 then the value of x-1÷x will be
0.5(√5+3√3)
0.5(3√5+2√3)
0.5(√5+2√3)
None
Found 2 solutions by MathLover1, Edwin McCravy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

If x=sqrt%285%29%2Bsqrt%283%29 then the value of %28x-1%29%2Fx will be:

%28x-1%29%2Fx

=%28sqrt%285%29%2Bsqrt%283%29-1%29%2F%28sqrt%285%29%2Bsqrt%283%29%29

=

=

=%285-sqrt%285%29-3%2Bsqrt%283%29%29%2F%285-3%29

=%282-sqrt%285%29%2Bsqrt%283%29%29%2F2

answer is: None



Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
x-1÷x 

1÷x means 1%2Fx 

x-1%2Fx   

%28sqrt%285%29%2Bsqrt%283%29%29-1%2F%28sqrt%285%29%2Bsqrt%283%29%29

Rationalize the denominator of the second term:



%28sqrt%285%29%2Bsqrt%283%29%29-%28sqrt%285%29-sqrt%283%29%29%2F%285-3%29

%28sqrt%285%29%2Bsqrt%283%29%29%2F1-%28sqrt%285%29-sqrt%283%29%29%2F2

LCD=2

%28%28sqrt%285%29%2Bsqrt%283%29%29%2F1%29%282%2F2%29-%28sqrt%285%29-sqrt%283%29%29%2F2

%282sqrt%285%29%2B2sqrt%283%29%29%2F2-%28sqrt%285%29-sqrt%283%29%29%2F2

%28%282sqrt%285%29%2B2sqrt%283%29%29-%28sqrt%285%29-sqrt%283%29%29%29%2F2

%282sqrt%285%29%2B2sqrt%283%29-sqrt%285%29%2Bsqrt%283%29%29%2F2

%28sqrt%285%29%2B3sqrt%283%29%29%2F2

Dividing by 2 is the same as taking 1/2 which is the same
as multiplying by 0.5, so the answer is

0.5%28sqrt%285%29%2B3sqrt%283%29%29

Edwin