(frac{sqrt{3}}{3}-1)^2+1 eching

$$( \frac { \sqrt { 3 } } { 3 } - 1 ) ^ { 2 } + 1$$

Baholash

$$\frac{7-2\sqrt{3}}{3}\approx 1,178632795$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{3}{3} marotabaga ko'paytirish.

$$\left(\frac{\sqrt{3}}{3}-\frac{3}{3}\right)^{2}+1$$

\frac{\sqrt{3}}{3} va \frac{3}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\left(\frac{\sqrt{3}-3}{3}\right)^{2}+1$$

\frac{\sqrt{3}-3}{3}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(\sqrt{3}-3\right)^{2}}{3^{2}}+1$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{3^{2}}{3^{2}} marotabaga ko'paytirish.

$$\frac{\left(\sqrt{3}-3\right)^{2}}{3^{2}}+\frac{3^{2}}{3^{2}}$$

\frac{\left(\sqrt{3}-3\right)^{2}}{3^{2}} va \frac{3^{2}}{3^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\left(\sqrt{3}-3\right)^{2}+3^{2}}{3^{2}}$$

\left(\sqrt{3}-3\right)^{2}+3^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{\left(\sqrt{3}\right)^{2}-6\sqrt{3}+9+3^{2}}{3^{2}}$$

\left(\sqrt{3}\right)^{2}-6\sqrt{3}+9+3^{2} hisob-kitobini qiling.

$$\frac{21-6\sqrt{3}}{3^{2}}$$

3^{2} ni kengaytirish.

$$\frac{21-6\sqrt{3}}{9}$$

Kengaytirish

$$\frac{7 - 2 \sqrt{3}}{3} = 1,1786327949540818$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{3}{3} marotabaga ko'paytirish.

$$\left(\frac{\sqrt{3}}{3}-\frac{3}{3}\right)^{2}+1$$

\frac{\sqrt{3}}{3} va \frac{3}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\left(\frac{\sqrt{3}-3}{3}\right)^{2}+1$$

\frac{\sqrt{3}-3}{3}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(\sqrt{3}-3\right)^{2}}{3^{2}}+1$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{3^{2}}{3^{2}} marotabaga ko'paytirish.

$$\frac{\left(\sqrt{3}-3\right)^{2}}{3^{2}}+\frac{3^{2}}{3^{2}}$$

\frac{\left(\sqrt{3}-3\right)^{2}}{3^{2}} va \frac{3^{2}}{3^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\left(\sqrt{3}-3\right)^{2}+3^{2}}{3^{2}}$$

\left(\sqrt{3}-3\right)^{2}+3^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{\left(\sqrt{3}\right)^{2}-6\sqrt{3}+9+3^{2}}{3^{2}}$$

\left(\sqrt{3}\right)^{2}-6\sqrt{3}+9+3^{2} hisob-kitobini qiling.

$$\frac{21-6\sqrt{3}}{3^{2}}$$

3^{2} ni kengaytirish.

$$\frac{21-6\sqrt{3}}{9}$$