Respostas
Calcule e simplifique.
FAZENDO PASSO A PASSO
a)√2.√5=
√2.√5 = √2x5 = √10
b)√3.√15=
√3.√15 = √3x15 = √45 fatorar 45| 3
15| 3
5| 5
1/ = 3x3x5 = 3³x5
√3.√15 = √3x15 = √45 = √3x3x5 = √3³x5 = 3√5 (elimina a √(raiz) com o (²))
√3.√15 = 3√5
c)√2.√98=
√2.√98 = √2x98 = √196 fatorar 196| 2
98| 2
49| 7
7| 7
1/ = 2x2x7x7x = 2²x7²
√2.√98 = √196 = √2x2x7x7 = √2²x7² = 2x7= 14(elimina a √(raiz) com o (²))
√2.√98 = √196 = 14
d)√200.√2=
√200.√2 = √200x 2 = √400 = fatorar 400|2
200|2
100| 2
50| 2
25| 5
5| 5
1/ =2x2x2x2x5x5 = 2²x2²x5²
√200.√2 = √400 = √2x2x2x2x5x5 = √2²x2²x5² = 2x2x5 = 20
√200.√2 = √400 = 20
e)√50.√3.6=
√50.√3.6
√50.√18 = √50x18 = √900 900| 2
450| 2
225| 3
75| 3
25| 5
5| 5
1/ = 2x2x3x3x5x5 = 2²x3²x5²
√50.√3.6 = √50x18 = √900 = √2²x3²x5² = 2x3x5 = 30
f)√0.4.√10=
√0,4.√10 = √0,4x 10 = √4 4| 2
2| 2
1/ = 2x2x = 2²
√0,4.√10 = √4 = √2² = 2
V5.V10.V2
2,2360679.3,1622776.1,4142135
9.9999988
*resultado final*