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

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

Baholash

$$\frac{40000000\sqrt{910}}{91}\approx 13259870,882635918$$

Yechim qadamlari

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\sqrt{\frac{2\times 16\times 500\times 10^{12}}{91}}$$

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

$$\sqrt{\frac{32\times 500\times 10^{12}}{91}}$$

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

$$\sqrt{\frac{16000\times 10^{12}}{91}}$$

12 daraja ko‘rsatkichini 10 ga hisoblang va 1000000000000 ni qiymatni oling.

$$\sqrt{\frac{16000\times 1000000000000}{91}}$$

16000000000000000 hosil qilish uchun 16000 va 1000000000000 ni ko'paytirish.

$$\sqrt{\frac{16000000000000000}{91}}$$

\sqrt{\frac{16000000000000000}{91}} boʻlinmasining kvadrat ildizini \frac{\sqrt{16000000000000000}}{\sqrt{91}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$\frac{\sqrt{16000000000000000}}{\sqrt{91}}$$

Faktor: 16000000000000000=40000000^{2}\times 10. \sqrt{40000000^{2}\times 10} koʻpaytmasining kvadrat ildizini \sqrt{40000000^{2}}\sqrt{10} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 40000000^{2} ning kvadrat ildizini chiqarish.

$$\frac{40000000\sqrt{10}}{\sqrt{91}}$$

\frac{40000000\sqrt{10}}{\sqrt{91}} maxrajini \sqrt{91} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{40000000\sqrt{10}\sqrt{91}}{\left(\sqrt{91}\right)^{2}}$$

\sqrt{91} kvadrati – 91.

$$\frac{40000000\sqrt{10}\sqrt{91}}{91}$$

\sqrt{10} va \sqrt{91} ni koʻpaytirish uchun kvadrat ildiz ichidagi sonlarni koʻpaytiring.

$$\frac{40000000\sqrt{910}}{91}$$