Question

if m=2+√3 find m²+1/m² and m+1m​

Answer 1

Answer:

we have

m=2+√3

1/m=1/2+√3

=2-√3/4-3{by rationalizing the denominator}

=2-√3

now,m+1/m=2+√3+2-√3=4

and m²+1/m²=(m+1/m)²-2

=4²-2

=16-2

=14