Question

Determine o valor da expressão numérica
10+√64+6.√36-3

Answer 1

Resposta:

51

Explicação passo-a-passo:

Fatorando:

36 | 2

18 | 2

9 | 3

3 | 3

1 | 1 / = 2 . 2 . 3 . 3 = 2^2.3^2=36

64 | 2

32 | 2

16 | 2

8 | 2

4 | 2

2 | 2

1 | 1  / = 2 . 2 . 2 . 2 . 2 . 2 = 2^6= 64

$10+\sqrt{64} +6\sqrt{36} -3=\\10+\sqrt{2^{6}}+6\sqrt{2^{2}.3^{2}} -3=\\10+2^{\frac{6}{2}}+6.(2^{2}.3^{2})^{\frac{1}{2}}-3=\\10+2^{3}+6.2^{(2.\frac{1}{2})}.3^{(2.\frac{1}{2})}-3=\\10+8+6.2.3-3=\\18+36-3=\\51$