Question

Considerando √2= 1,41 calcule o valor de √8+ √72-√200.

Answer 1

Resposta:

2,82

Explicação passo-a-passo:

8= 2^3=2×4

72 2

36 2

18 2

9 3

3. 3

1

72= 2^3×3^2= 2×4 × 9

200 2

100 2

50 2

25 5

5 5

1

200= 2^3×5^2= 2×4 × 25

√8+ √72-√200.=

√(2×4) + √(2×4×9) -√(2×4×25)=

2√2 + 2×3√2 - 2×5√2=

2√2 +6√2 -10√2=

2×1,41 +6×1,41 -10×1,41=

2,82 + 8,46 - 14,1=

12,28 - 14,1= -2,82