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

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

I-evaluate

$$\frac{1}{10000000}=0.0000001$$

Mga Hakbang ng Solution

Kalkulahin ang 10 sa power ng -72 at kunin ang \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}.

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

Kalkulahin ang 10 sa power ng -1236 at kunin ang \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

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

I-multiply ang \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} at 0 para makuha ang 0.

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

I-multiply ang 0 at 0 para makuha ang 0.

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

I-multiply ang 0 at 5 para makuha ang 0.

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

Kalkulahin ang 10 sa power ng -14 at kunin ang \frac{1}{100000000000000}.

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

Idagdag ang 0 at \frac{1}{100000000000000} para makuha ang \frac{1}{100000000000000}.

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

I-multiply ang \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000} at \frac{1}{100000000000000} para makuha ang \frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

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

Kalkulahin ang 10 sa power ng -72 at kunin ang \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}.

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

I-multiply ang 0 at 0 para makuha ang 0.

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

I-multiply ang 0 at 5 para makuha ang 0.

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

Idagdag ang \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000} at 0 para makuha ang \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}.

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

I-divide ang \frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000} gamit ang \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000} sa pamamagitan ng pagmu-multiply sa \frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000} gamit ang reciprocal ng \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}.

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

I-multiply ang \frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000} at 1000000000000000000000000000000000000000000000000000000000000000000000000 para makuha ang \frac{1}{100000000000000}.

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

I-rewrite ang square root ng division na \frac{1}{100000000000000} bilang division ng mga square root na \frac{\sqrt{1}}{\sqrt{100000000000000}}. Kunin ang square root ng numerator at denominator.

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

I-factor

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