Question

Simplify √135+5⁢√10⁢𝑑−3⁢√60.

Answer 1

√135 = 3√15 and √60 = 2√15, so

√135 + 5√10 d − 3√60 = 3√15 + 5d√10 − 6√15 = 5d√10 − 3√15.

(You can also factor √5: = √5(5d√2 − 3√3).)