Question

Considerando V2=1,41 e V3=1,73 simplifique as raízes e escreva o resultado na forma decimal
a)V162
b)V48
c)V72

Answer 1

a)162/2
81/9
9/9
1
√162 = 
= √9².2 = 9√2 = 9.1,41 = 12,69>>>1269/100

b)48/2
24/2
12/2
6/2
3/3
1

√48 = 
√2².2².3 = 
2.2√3 = 4√3
4.1,73 = 6,92 >>>> 692/100 simplificando 173/25

c)72/2
36/2
18/2
9/3
3/3
1

√72 = 
√2².2.3² = 
2.3√2 = 
6√2 = 
6. 1,41 = 9,66 >>>> 966/100 simplificando 483/50

Answer 2

a) √162

162 = 2.3^4

√162 = √2.3^4
√162 = 3².√2
√162 = 9.1,41 = 12,96

b) √48
48 = 2^4.3
√48 = √2^4.3
√48 = 2².√3
√48 = 4.1,73 = 6,92

c) √72
72 = 2³.3²
√72 = √2³.3²
√72 = 2.3.√2
√72 = 6.1,41 = 8,46

Espero ter ajudado.