Question

If a =5+2√b find the value of a square +1/a2

Answer 1

I hope this answer helps you

Answer 2

solution

if a=5+2√b  find the value of a²+1/a²

 ⇒(5+2√b)²+1/(5+2√b)²

⇒(25+20√b+4b)+1/(25+20√b+4b)

⇒[(25+20√b+4b)(25+20√b+4b)+1]/(25+20√b+4b)

=625+500√b+100b+500√b+400b+800b√b+100b+800b√b+16b²

=16b²+600b+1000√b+1600b√b+625