Question

If √2 = 1.414 and √3 = 1.732 then find the value of 3√3 - 2√2 + 3/3√3+2√2

Answer 1

3√3-2√2+3/3√3+2√2
=3√3+3/3√3
=(3√3×3√3+3)/3√3
=(27+3)/3√3
=30/3√3
=10/√3
=10/1.732
=5.77367205543 ≈ 5.774