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Boyprodgy
@Boyprodgy
April 2020
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Simplifique as frações racionalizando os denominadores.
a)
b)
c)
d)
e)
f)
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arlaine
A) √7+35/√7 = √7+35/√7·√7/√7 = √49 + 35√7/7 = 7+35√7/7 = 1+7√7
b) 3√21+√7/3√3 = 3√21+√7/3√3·√3/√3 = 3√63+√21/9 = √63/3 + √21/9
c) 90-√10/√10 = 90-√10/√10·√10/√10 = 90-10/10 = 80/10 = 8
d) 3√6-8/4√2 = 3√6-8/4√2·√2/√2 = 3√12-8√2/8 = 3√12/8 - √2
e) √6-12/2√6 = √6-12/2√6·√6/√6 = 6-12√6/12 = 1/2 - √6
f) 45√3-15√2/6√5 = 45√3-15√2/6√5·√5/√5 = 45√15-15√10/30 = 3√15-√10/2
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b) 3√21+√7/3√3 = 3√21+√7/3√3·√3/√3 = 3√63+√21/9 = √63/3 + √21/9
c) 90-√10/√10 = 90-√10/√10·√10/√10 = 90-10/10 = 80/10 = 8
d) 3√6-8/4√2 = 3√6-8/4√2·√2/√2 = 3√12-8√2/8 = 3√12/8 - √2
e) √6-12/2√6 = √6-12/2√6·√6/√6 = 6-12√6/12 = 1/2 - √6
f) 45√3-15√2/6√5 = 45√3-15√2/6√5·√5/√5 = 45√15-15√10/30 = 3√15-√10/2