sqrt{10left(1-2right)+6left(2-2right)+4left(4-2right)+2left(5-2right)+(8-2)/28} eching

$$\sqrt{ \frac{ 10 \left( 1-2 \right) +6 \left( 2-2 \right) +4 \left( 4-2 \right) +2 \left( 5-2 \right) +(8-2) }{ 28 } }$$

Baholash

$$\frac{\sqrt{70}}{14}\approx 0,597614305$$

Yechim qadamlari

-1 olish uchun 1 dan 2 ni ayirish.

$$\sqrt{\frac{10\left(-1\right)+6\left(2-2\right)+4\left(4-2\right)+2\left(5-2\right)+8-2}{28}}$$

-10 hosil qilish uchun 10 va -1 ni ko'paytirish.

$$\sqrt{\frac{-10+6\left(2-2\right)+4\left(4-2\right)+2\left(5-2\right)+8-2}{28}}$$

0 olish uchun 2 dan 2 ni ayirish.

$$\sqrt{\frac{-10+6\times 0+4\left(4-2\right)+2\left(5-2\right)+8-2}{28}}$$

0 hosil qilish uchun 6 va 0 ni ko'paytirish.

$$\sqrt{\frac{-10+0+4\left(4-2\right)+2\left(5-2\right)+8-2}{28}}$$

-10 olish uchun -10 va 0'ni qo'shing.

$$\sqrt{\frac{-10+4\left(4-2\right)+2\left(5-2\right)+8-2}{28}}$$

2 olish uchun 4 dan 2 ni ayirish.

$$\sqrt{\frac{-10+4\times 2+2\left(5-2\right)+8-2}{28}}$$

8 hosil qilish uchun 4 va 2 ni ko'paytirish.

$$\sqrt{\frac{-10+8+2\left(5-2\right)+8-2}{28}}$$

-2 olish uchun -10 va 8'ni qo'shing.

$$\sqrt{\frac{-2+2\left(5-2\right)+8-2}{28}}$$

3 olish uchun 5 dan 2 ni ayirish.

$$\sqrt{\frac{-2+2\times 3+8-2}{28}}$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\sqrt{\frac{-2+6+8-2}{28}}$$

4 olish uchun -2 va 6'ni qo'shing.

$$\sqrt{\frac{4+8-2}{28}}$$

12 olish uchun 4 va 8'ni qo'shing.

$$\sqrt{\frac{12-2}{28}}$$

10 olish uchun 12 dan 2 ni ayirish.

$$\sqrt{\frac{10}{28}}$$

\frac{10}{28} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\sqrt{\frac{5}{14}}$$

\sqrt{\frac{5}{14}} boʻlinmasining kvadrat ildizini \frac{\sqrt{5}}{\sqrt{14}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$\frac{\sqrt{5}}{\sqrt{14}}$$

\frac{\sqrt{5}}{\sqrt{14}} maxrajini \sqrt{14} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{\sqrt{5}\sqrt{14}}{\left(\sqrt{14}\right)^{2}}$$

\sqrt{14} kvadrati – 14.

$$\frac{\sqrt{5}\sqrt{14}}{14}$$

\sqrt{5} va \sqrt{14} ni koʻpaytirish uchun kvadrat ildiz ichidagi sonlarni koʻpaytiring.

$$\frac{\sqrt{70}}{14}$$