Question

Упростите выражение
$frac{ sqrt{5}- sqrt{3} }{ sqrt{45} -sqrt{27} }$

Answer 1

((√5 - √3)/√45-√27)) * ((√45 + √27)(√45 + √27)) = (√5*45 + √5*27√ - √3*45 - √3*27)/(45-27) = (√225 + √135 - √135 - √81) / 18 = (√225 - √81) / 18 = (15-9) / 18 = 6/18 = 1/3