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a)√12 + 5√3 = √4 * √3 + 5√3 = 2√3 + 5√3 = 7√3
b)2√48 + 2√3 = 2√16 * √3 + 2√3 = 2*4√3 + 2√3 = 8√3 + 2√3 = 10√3
c)3√20 + √5 = 3√4 * √5 + √5 = 3*2√5 + √5 = 6√5 + √5 = 7√5
d)√18 - 2√8 = √9 * √2 - 2√4 * √2 = 3√2 - 2*2√2 = 3√2 - 4√2 = -√2
e)√90 + √40 + √250 = √9 * √10 + √4 * √10 + √25 * √10 = 3√10 + 2√10 + 5√10 = 10√10
f)³√40 + ³√135 = ³√8 *³√5 + ³√27 * ³√5 = 2³√5 + 3³√5 = 5³√5
g)2√45 + 3√20 - √80 = 2√9 * √5 + 3√4 * √5 - √5 * √16 = 2*3√5 + 3*2√5 - 4√5 = 6√5 + 6√5 - 4√5 = 8√5
Zadanie.14
a) √6·√12=√36·2=6√2
b) ∛16·∛12=∛64·3=4∛3
c) √18·√10=√180=√36·5=6√5
d) ∛6·∛9=∛54=∛27·2=3∛2
e)√35:√28=√35/28=√5/4=1/2√5
f) ∛30:∛48=∛30/48=∛5/8=1/2∛5