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

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

Evalueren

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

Oplossingsstappen

Bereken 10 tot de macht van -72 en krijg \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}.

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

Bereken 10 tot de macht van -1236 en krijg \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

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

Vermenigvuldig \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} en 0 om 0 te krijgen.

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

Vermenigvuldig 0 en 0 om 0 te krijgen.

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

Vermenigvuldig 0 en 5 om 0 te krijgen.

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

Bereken 10 tot de macht van -14 en krijg \frac{1}{100000000000000}.

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

Tel 0 en \frac{1}{100000000000000} op om \frac{1}{100000000000000} te krijgen.

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

Vermenigvuldig \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000} en \frac{1}{100000000000000} om \frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000} te krijgen.

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

Bereken 10 tot de macht van -72 en krijg \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}.

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

Vermenigvuldig 0 en 0 om 0 te krijgen.

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

Vermenigvuldig 0 en 5 om 0 te krijgen.

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

Tel \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000} en 0 op om \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000} te krijgen.

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

Deel \frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000} door \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000} door \frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000} te vermenigvuldigen met de omgekeerde waarde van \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}.

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

Vermenigvuldig \frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000} en 1000000000000000000000000000000000000000000000000000000000000000000000000 om \frac{1}{100000000000000} te krijgen.

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

Herschrijf de vierkantswortel van de deling \frac{1}{100000000000000} als de verdeling van vierkante hoofdmappen \frac{\sqrt{1}}{\sqrt{100000000000000}}. Neem de vierkantswortel van de teller en de noemer op.

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

Factoriseren

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