=frac{-2-frac{6sqrt{5}}{5}}{2*(-1/5)} eching

$$= \frac { - 2 - \frac { 6 \sqrt { 5 } } { 5 } } { 2 \cdot ( - \frac { 1 } { 5 } ) }$$

Baholash

$$3\sqrt{5}+5\approx 11,708203932$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. -2 ni \frac{5}{5} marotabaga ko'paytirish.

$$\frac{-\frac{2\times 5}{5}-\frac{6\sqrt{5}}{5}}{2\left(-\frac{1}{5}\right)}$$

-\frac{2\times 5}{5} va \frac{6\sqrt{5}}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{-2\times 5-6\sqrt{5}}{5}}{2\left(-\frac{1}{5}\right)}$$

-2\times 5-6\sqrt{5} ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{-10-6\sqrt{5}}{5}}{2\left(-\frac{1}{5}\right)}$$

2\left(-\frac{1}{5}\right) ni yagona kasrga aylantiring.

$$\frac{\frac{-10-6\sqrt{5}}{5}}{\frac{2\left(-1\right)}{5}}$$

-2 hosil qilish uchun 2 va -1 ni ko'paytirish.

$$\frac{\frac{-10-6\sqrt{5}}{5}}{\frac{-2}{5}}$$

\frac{-2}{5} kasri manfiy belgini olib tashlash bilan -\frac{2}{5} sifatida qayta yozilishi mumkin.

$$\frac{\frac{-10-6\sqrt{5}}{5}}{-\frac{2}{5}}$$

\frac{-10-6\sqrt{5}}{5} ni -\frac{2}{5} ga bo'lish \frac{-10-6\sqrt{5}}{5} ga k'paytirish -\frac{2}{5} ga qaytarish.

$$\frac{\left(-10-6\sqrt{5}\right)\times 5}{5\left(-2\right)}$$

Surat va maxrajdagi ikkala 5 ni qisqartiring.

$$\frac{-6\sqrt{5}-10}{-2}$$

5+3\sqrt{5} natijani olish uchun -6\sqrt{5}-10 ning har bir ifodasini -2 ga bo‘ling.

$$5+3\sqrt{5}$$

Omil

$$\sqrt{5} {(\sqrt{5} + 3)} = 11,708203932$$