sqrt{8^2-3/frac{6{5}}+3*89} eching

$$\sqrt{ \frac{ { 8 }^{ 2 } -3 }{ \frac{ 6 }{ 5 } } +3 \times 89 }$$

Baholash

$$\frac{\sqrt{11442}}{6}\approx 17,827880786$$

Yechim qadamlari

2 daraja ko‘rsatkichini 8 ga hisoblang va 64 ni qiymatni oling.

$$\sqrt{\frac{64-3}{\frac{6}{5}}+3\times 89}$$

61 olish uchun 64 dan 3 ni ayirish.

$$\sqrt{\frac{61}{\frac{6}{5}}+3\times 89}$$

61 ni \frac{6}{5} ga bo'lish 61 ga k'paytirish \frac{6}{5} ga qaytarish.

$$\sqrt{61\times \frac{5}{6}+3\times 89}$$

61\times \frac{5}{6} ni yagona kasrga aylantiring.

$$\sqrt{\frac{61\times 5}{6}+3\times 89}$$

305 hosil qilish uchun 61 va 5 ni ko'paytirish.

$$\sqrt{\frac{305}{6}+3\times 89}$$

267 hosil qilish uchun 3 va 89 ni ko'paytirish.

$$\sqrt{\frac{305}{6}+267}$$

267 ni \frac{1602}{6} kasrga o‘giring.

$$\sqrt{\frac{305}{6}+\frac{1602}{6}}$$

\frac{305}{6} va \frac{1602}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\sqrt{\frac{305+1602}{6}}$$

1907 olish uchun 305 va 1602'ni qo'shing.

$$\sqrt{\frac{1907}{6}}$$

\sqrt{\frac{1907}{6}} boʻlinmasining kvadrat ildizini \frac{\sqrt{1907}}{\sqrt{6}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$\frac{\sqrt{1907}}{\sqrt{6}}$$

\frac{\sqrt{1907}}{\sqrt{6}} maxrajini \sqrt{6} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{\sqrt{1907}\sqrt{6}}{\left(\sqrt{6}\right)^{2}}$$

\sqrt{6} kvadrati – 6.

$$\frac{\sqrt{1907}\sqrt{6}}{6}$$

\sqrt{1907} va \sqrt{6} ni koʻpaytirish uchun kvadrat ildiz ichidagi sonlarni koʻpaytiring.

$$\frac{\sqrt{11442}}{6}$$