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

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

Baholash

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

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

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

32 hosil qilish uchun 2 va 16 ni ko'paytirish.

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

16000 hosil qilish uchun 32 va 500 ni ko'paytirish.

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

50 daraja ko‘rsatkichini 10 ga hisoblang va 100000000000000000000000000000000000000000000000000 ni qiymatni oling.

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

9100000000000000000000000000000000000000000000000000 hosil qilish uchun 91 va 100000000000000000000000000000000000000000000000000 ni ko'paytirish.

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

\frac{16000}{9100000000000000000000000000000000000000000000000000} ulushini 16000 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

\sqrt{\frac{1}{568750000000000000000000000000000000000000000000}} boʻlinmasining kvadrat ildizini \frac{\sqrt{1}}{\sqrt{568750000000000000000000000000000000000000000000}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

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

1 ning kvadrat ildizini hisoblab, 1 natijaga ega bo‘ling.

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

Faktor: 568750000000000000000000000000000000000000000000=25000000000000000000000^{2}\times 910. \sqrt{25000000000000000000000^{2}\times 910} koʻpaytmasining kvadrat ildizini \sqrt{25000000000000000000000^{2}}\sqrt{910} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 25000000000000000000000^{2} ning kvadrat ildizini chiqarish.

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

\frac{1}{25000000000000000000000\sqrt{910}} maxrajini \sqrt{910} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

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

\sqrt{910} kvadrati – 910.

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

22750000000000000000000000 hosil qilish uchun 25000000000000000000000 va 910 ni ko'paytirish.

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