Question

Simplify the following by rationalising the denominator..........
3+√5/3-√5 + 3-√5/3+√5.....
Answer in detail

Answer 1

Answer:

7

Step-by-step explanation:

$\displaystyle\frac{3+\sqrt5}{3-\sqrt5}+\frac{3-\sqrt5}{3+\sqrt5}\\\\=\frac{(3+\sqrt5)^2+(3-\sqrt5)^2}{(3-\sqrt5)(3+\sqrt5)}\\\\=\frac{(9+6\sqrt5+5)+(9-6\sqrt5+5)}{3^2-\sqrt5^2}\\\\=\frac{9+5+9+5}{9-5}\\\\=\frac{28}{4}\\\\=7$

Answer 2

I hope 7 is right answer ho sakta hai