Lahenda sqrt{2*16*10^-19*500/91*10^31}

$$\sqrt{ \frac{ 2 \times 16 \times { 10 }^{ -19 } \times 500 }{ 91 \times { 10 }^{ 31 } } }$$

Arvuta

$$\frac{\sqrt{910}}{22750000000000000000000000}\approx 1,325987088 \cdot 10^{-24}$$

Lahenduse etapid

Sama alusega astmete jagamiseks lahutage lugeja astendaja nimetaja astendajast.

$$\sqrt{\frac{2\times 16\times 500}{91\times 10^{50}}}$$

Korrutage 2 ja 16, et leida 32.

$$\sqrt{\frac{32\times 500}{91\times 10^{50}}}$$

Korrutage 32 ja 500, et leida 16000.

$$\sqrt{\frac{16000}{91\times 10^{50}}}$$

Arvutage 50 aste 10 ja leidke 100000000000000000000000000000000000000000000000000.

$$\sqrt{\frac{16000}{91\times 100000000000000000000000000000000000000000000000000}}$$

Korrutage 91 ja 100000000000000000000000000000000000000000000000000, et leida 9100000000000000000000000000000000000000000000000000.

$$\sqrt{\frac{16000}{9100000000000000000000000000000000000000000000000000}}$$

Taandage murd \frac{16000}{9100000000000000000000000000000000000000000000000000} vähimale ühiskordsele, eraldades ja taandades arvu 16000.

$$\sqrt{\frac{1}{568750000000000000000000000000000000000000000000}}$$

Kirjutage: allüksus \sqrt{\frac{1}{568750000000000000000000000000000000000000000000}}: allüksus juured \frac{\sqrt{1}}{\sqrt{568750000000000000000000000000000000000000000000}}.

$$\frac{\sqrt{1}}{\sqrt{568750000000000000000000000000000000000000000000}}$$

Arvutage 1 ruutjuur, et saada 1.

$$\frac{1}{\sqrt{568750000000000000000000000000000000000000000000}}$$

Tegurda 568750000000000000000000000000000000000000000000=25000000000000000000000^{2}\times 910. Kirjutage \sqrt{25000000000000000000000^{2}\times 910} toote juured, kui see ruut \sqrt{25000000000000000000000^{2}}\sqrt{910}. Leidke 25000000000000000000000^{2} ruutjuur.

$$\frac{1}{25000000000000000000000\sqrt{910}}$$

Ratsionaliseerige korrutades lugeja ja \sqrt{910} nimetaja \frac{1}{25000000000000000000000\sqrt{910}} nimetaja.

$$\frac{\sqrt{910}}{25000000000000000000000\left(\sqrt{910}\right)^{2}}$$

\sqrt{910} ruut on 910.

$$\frac{\sqrt{910}}{25000000000000000000000\times 910}$$

Korrutage 25000000000000000000000 ja 910, et leida 22750000000000000000000000.

$$\frac{\sqrt{910}}{22750000000000000000000000}$$