86/7*2+(-2)divsqrt{8+5}= eching

$$\frac{ 86 }{ 7 \times 2 } +(-2) \div \sqrt{ 8+5 } =$$

Baholash

$$-\frac{2\sqrt{13}}{13}+\frac{43}{7}\approx 5,588156947$$

Qisqa yechim qadamlari

14 hosil qilish uchun 7 va 2 ni ko'paytirish.

$$\frac{86}{14}+\frac{-2}{\sqrt{8+5}}$$

\frac{86}{14} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{43}{7}+\frac{-2}{\sqrt{8+5}}$$

13 olish uchun 8 va 5'ni qo'shing.

$$\frac{43}{7}+\frac{-2}{\sqrt{13}}$$

\frac{-2}{\sqrt{13}} maxrajini \sqrt{13} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{43}{7}+\frac{-2\sqrt{13}}{\left(\sqrt{13}\right)^{2}}$$

\sqrt{13} kvadrati – 13.

$$\frac{43}{7}+\frac{-2\sqrt{13}}{13}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 7 va 13 ning eng kichik umumiy karralisi 91. \frac{43}{7} ni \frac{13}{13} marotabaga ko'paytirish. \frac{-2\sqrt{13}}{13} ni \frac{7}{7} marotabaga ko'paytirish.

$$\frac{43\times 13}{91}+\frac{7\left(-2\right)\sqrt{13}}{91}$$

\frac{43\times 13}{91} va \frac{7\left(-2\right)\sqrt{13}}{91} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{43\times 13+7\left(-2\right)\sqrt{13}}{91}$$

43\times 13+7\left(-2\right)\sqrt{13} ichidagi ko‘paytirishlarni bajaring.

$$\frac{559-14\sqrt{13}}{91}$$

Omil

$$\frac{559 - 14 \sqrt{13}}{91} = 5,588156946631914$$