what is the √8/√3+1 *best way i can write it*

Question

i need to solve the square root of 8 over the square root of 3 plus 1.

Answer 1

 

 

 If it is (sqrt(8)/sqrt(3))+1 , then you must rationalize the first term only.

 

 [sqrt(8)*sqrt(3)] / 3 + 1 =

 

 sqrt(24)/3 + 1

 

 

-------------------------------------------

 

If the denominator is (sqrt(3) + 1), then you must rationalize with (sqrt(3)  - 1)

 

 

 the fraction becomes

 sqrt(8) * (sqrt(3) - 1) 

---------------------------

9 - 1

 

or

 

sqrt(8) ( sqrt(3) - 1)

----------------------

   8