Odpowiedź:
zad 1
a) 7/√2 = 7/√2 * √2/√2 = 7√2/(√2 * √2) = 7√2/2
b) 6/√3 = 6/√3 * √3/√3 = 6√3/(√3 * √3) = 6√3/3 = 2√3
c) 5/√10 = 5/√10 * √10/√10 = 5√10/(√10 * √10) = 5√10/10 = √10/2
d) 6/√6 = 6/√6 * √6/√6 = 6√6/6 = √6
e) 17/√17 = 17/√17 * √17/√17 = 17√17/(√17 * √17) = 17√17/17 = √17
f) 7/2√14 = 7/2√14 * √14/√14 = 7√14/(2 * √14 * √14) = 7√14/(2 * 14) = 7√14/28 =
= √14/4
g) 3/2√6 = 3/2√6 * √6/√6 = 3√6/(2 * √6 * √6) = 3√6/(2 * 6) = 3√6/12 =
= √6/2
h) √7/√5 = √7/√5 * √5/√5 = (√7 * √5)/(√5 * √5) = √(7 * 5)/5 = √35/5
i) √15/√6 = √15/√6 * √6/√6 = (√15 * √6)/(√6 * √6) = √(15 * 6)/6 = √90/6 =
= √(9 * 10)/6 = 3√10/6 = √10/2
j) - √11/√2 = - √11/√2 * √2/√2 = - (√11 * √2)/(√2 * √2) = - √( 11 * 2)/2 = - √22/2
k) ∛3/∛2 = ∛3/∛2 * ∛4/∛4 = (∛3 * ∛4)/(∛2 * ∛4) = ∛(3 * 4)/(∛(2 * 4) =
= ∛12/∛8 = ∛12/2
l) ∛2/∛9 = ∛2/∛9 * ∛3/∛3 = (∛2 * ∛3)/(∛9 * ∛3) = ∛(2 * 3)/∛(9 * 3) = ∛6/∛27 =
= ∛6/3
