Question

simplify : √5+1/√5-1 = √5-1/√5+1​

Answer 1

$\large { \underline{ \bf \red{Question:- }}}$

• simplify : √5+1/√5-1 = √5-1/√5+1

$\large { \underline{ \bf \purple{Solution:- }}}$

$Here ab=1 \\ </p><p></p><p> (a+b)=5−15+1+5+15−1 \\ </p><p></p><p>⇒(a+b)=4(5+1)2+(5−1)2 \\ </p><p></p><p>=45+1+25+5+1−25 \\ </p><p></p><p>⇒(a+b)=3 \\ </p><p></p><p>(a2+b2)=(a+b)2−2ab \\ </p><p></p><p>=9−2=7 \\ </p><p></p><p>∴a2+b2−aba2+b2+ab=7−17+1 = \frac{4}{3}   \\ </p><p></p><p>$

$\large { \underline{ \bf \pink{Therefore:- }}}$

$\frac{4}{3} \: \: is \: \: the \: \: correct \: \: answer$