Question

if a = √5+2√6 , then 1 + a4/a2 = ?​

Answer 1

Answer:

a= √5+2√6 so a² = √5² +2.√5.2.√6 + (2√6)² = 5+4√30+24= 29+4√30

then 1+a⁴/a² = a²+a⁴/a² = a²(1+a²)/a² = 1+a² = 1+29+4√30 = 30+4√30 (ans)