Решете sqrt{10^-72left(10^-1236005+10^-14right)/10^-72+005}=

$$\sqrt{ \frac{ { 10 }^{ -72 } \left( { 10 }^{ -1236 } 005+ { 10 }^{ -14 } \right) }{ { 10 }^{ -72 } +005 } } =$$

Изчисляване

$$\frac{1}{10000000}=0,0000001$$

Стъпки на решението

Изчислявате -72 на степен 10 и получавате \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}.

$$\sqrt{\frac{\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}\left(10^{-1236}\times 0\times 0\times 5+10^{-14}\right)}{10^{-72}+0\times 0\times 5}}$$

Изчислявате -1236 на степен 10 и получавате \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$\sqrt{\frac{\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}\left(\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\times 0\times 0\times 5+10^{-14}\right)}{10^{-72}+0\times 0\times 5}}$$

Умножете \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} по 0, за да получите 0.

$$\sqrt{\frac{\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}\left(0\times 0\times 5+10^{-14}\right)}{10^{-72}+0\times 0\times 5}}$$

Умножете 0 по 0, за да получите 0.

$$\sqrt{\frac{\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}\left(0\times 5+10^{-14}\right)}{10^{-72}+0\times 0\times 5}}$$

Умножете 0 по 5, за да получите 0.

$$\sqrt{\frac{\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}\left(0+10^{-14}\right)}{10^{-72}+0\times 0\times 5}}$$

Изчислявате -14 на степен 10 и получавате \frac{1}{100000000000000}.

$$\sqrt{\frac{\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}\left(0+\frac{1}{100000000000000}\right)}{10^{-72}+0\times 0\times 5}}$$

Съберете 0 и \frac{1}{100000000000000}, за да се получи \frac{1}{100000000000000}.

$$\sqrt{\frac{\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}\times \frac{1}{100000000000000}}{10^{-72}+0\times 0\times 5}}$$

Умножете \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000} по \frac{1}{100000000000000}, за да получите \frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$\sqrt{\frac{\frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{10^{-72}+0\times 0\times 5}}$$

Изчислявате -72 на степен 10 и получавате \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}.

$$\sqrt{\frac{\frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}+0\times 0\times 5}}$$

Умножете 0 по 0, за да получите 0.

$$\sqrt{\frac{\frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}+0\times 5}}$$

Умножете 0 по 5, за да получите 0.

$$\sqrt{\frac{\frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}+0}}$$

Съберете \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000} и 0, за да се получи \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}.

$$\sqrt{\frac{\frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}}}$$

Разделете \frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000} на \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000} чрез умножаване на \frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000} по обратната стойност на \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}.

$$\sqrt{\frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\times 1000000000000000000000000000000000000000000000000000000000000000000000000}$$

Умножете \frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000} по 1000000000000000000000000000000000000000000000000000000000000000000000000, за да получите \frac{1}{100000000000000}.

$$\sqrt{\frac{1}{100000000000000}}$$

Презаписване на квадратния корен на делението \frac{1}{100000000000000} като деление на квадратен корен \frac{\sqrt{1}}{\sqrt{100000000000000}}. Извеждане на квадратния корен на числителя и на знаменателя.

$$\frac{1}{10000000}$$

Разлагане на множители

$$\frac{1}{2 ^ {7} \cdot 5 ^ {7}} = 1 \times 10^{-7}$$