\( \frac{ \sqrt{7-1} }{ \sqrt{7+1} } - \frac{ \sqrt{7+1} }{ \sqrt{7-1} } =a+b \times \sqrt{7} \)
Find the value of "a" & "b". Plz explain the process
I think in the question, it is just 7 that should be inside the root.You can simply rationalize the two terms and then take LCM.
a=8/3
b=-2/3
Can you please explain step by step because my answer for a is -2/3 but b is zero .
I think the given expression should be \(\(\frac {{\sqrt 7-1}}
{{\sqrt 7+1}}-\frac{{\sqrt 7+1}}
{{\sqrt 7-1}} = a+ b\sqrt 7\)\).Even now if you are unable to do it then you can attach your working here so that others can have a look.
I did know that.My working is as follows
(√7 -1)(√7-1)⁄ (√7+1)(√7-1) - (√7+1)(√7+1)/ (√7-1)(√7+1)
=(7-2√7+1)/6 - (7+2√7+1)/6
=(8-2√7 - 8 -2√7)/6
=-4√7/6
=-2√7/3
The working looks fine which means the answer for a should be 0 instead of 8/3, b=-2/3.