Question

I want to tell u that this answer is incorrect pls make it correct
The right answer is 6.854
I had also sloved this Q. and my answer is correct ​

Answer 1

$\huge{\text{Question}}$

Evaluate $\dfrac{3+\sqrt{5} }{3-\sqrt{5}}$.

$\huge{\text{Given}}$

$\sqrt{5} =2.236$

$\huge{\text{Solution}}$

To evaluate it, we should multiply $\dfrac{3+\sqrt{5} }{3+\sqrt{5} }$ which value is 1.

$\text{Value:\ }\dfrac{3+\sqrt{5} }{3-\sqrt{5} }\times \dfrac{3+\sqrt{5} }{3+\sqrt{5} }$

$=\dfrac{(3+\sqrt{5} )^2}{3^2-(\sqrt{5} )^2}$

$=\dfrac{3^2+2\times 3\times \sqrt{5} +(\sqrt{5})^2}{9-5}$

$=\dfrac{9-6\sqrt{5} +5}{4}$

$=\dfrac{14+6\sqrt{5} }{4}$

$=\dfrac{7+\sqrt{5} }{2}$

Now since we have the value of $\sqrt{5}$ we can calculate the value.

$=\dfrac{7+3\times 2.236}{2}$

$=\dfrac{13.708}{2}=\boxed{6.854}$

$\huge{\text{P.S.}}$

I found a mistake in my answer so I answered your question again. Sorry for the inconvenience and my apologies.