Question

Find the simplest form of  `(2sqrt(45)+3sqrt(20))/(2sqrt(5))`.

Answer 1

= `(2sqrt45 + 3sqrt20)/(2sqrt5)`

= `(2sqrt(9 xx 5) + 3sqrt(4 xx 5))/(2 sqrt 5)`

= `(2sqrt(3^2 xx 5) + 3sqrt(2^2 xx 5))/(2sqrt5)`

= `(2 xx 3sqrt5 + 3 xx 2sqrt5)/(2sqrt5)`

= `(2cancelsqrt5 (3 + 3))/(2cancelsqrt5)` = 6