Question

Simplify : 3√45 - 5/2 √5 + 4√240 - 6√64 + 10√196

Answer 1

3√45 - 5/2 √5 + 4√240 - 6√64 + 10√196

=3√(5×3×3) - √5/2 + 4√(16×15) - 6×8 + 10×14

= 9√5 - √5/2 + 16√15 - 48 + 140

= 9√5 - √5/2 + 16√15 + 92 (ans.)