1/2-1+2*1/frac{1{sqrt{3}}*frac{sqrt{3}}{1}} eching

$$\frac { \frac { 1 } { 2 } - 1 + 2 \times 1 } { \frac { 1 } { \sqrt { 3 } } \times \frac { \sqrt { 3 } } { 1 } }$$

Baholash

$$\frac{3}{2}=1,5$$

Yechim qadamlari

1 ni \frac{2}{2} kasrga o‘giring.

$$\frac{\frac{1}{2}-\frac{2}{2}+2\times 1}{\frac{1}{\sqrt{3}}\times \frac{\sqrt{3}}{1}}$$

\frac{1}{2} va \frac{2}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{1-2}{2}+2\times 1}{\frac{1}{\sqrt{3}}\times \frac{\sqrt{3}}{1}}$$

-1 olish uchun 1 dan 2 ni ayirish.

$$\frac{-\frac{1}{2}+2\times 1}{\frac{1}{\sqrt{3}}\times \frac{\sqrt{3}}{1}}$$

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

$$\frac{-\frac{1}{2}+2}{\frac{1}{\sqrt{3}}\times \frac{\sqrt{3}}{1}}$$

2 ni \frac{4}{2} kasrga o‘giring.

$$\frac{-\frac{1}{2}+\frac{4}{2}}{\frac{1}{\sqrt{3}}\times \frac{\sqrt{3}}{1}}$$

-\frac{1}{2} va \frac{4}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{-1+4}{2}}{\frac{1}{\sqrt{3}}\times \frac{\sqrt{3}}{1}}$$

3 olish uchun -1 va 4'ni qo'shing.

$$\frac{\frac{3}{2}}{\frac{1}{\sqrt{3}}\times \frac{\sqrt{3}}{1}}$$

\frac{1}{\sqrt{3}} maxrajini \sqrt{3} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

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

\sqrt{3} kvadrati – 3.

$$\frac{\frac{3}{2}}{\frac{\sqrt{3}}{3}\times \frac{\sqrt{3}}{1}}$$

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

$$\frac{\frac{3}{2}}{\frac{\sqrt{3}}{3}\sqrt{3}}$$

\frac{\sqrt{3}}{3}\sqrt{3} ni yagona kasrga aylantiring.

$$\frac{\frac{3}{2}}{\frac{\sqrt{3}\sqrt{3}}{3}}$$

\frac{3}{2} ni \frac{\sqrt{3}\sqrt{3}}{3} ga bo'lish \frac{3}{2} ga k'paytirish \frac{\sqrt{3}\sqrt{3}}{3} ga qaytarish.

$$\frac{3\times 3}{2\sqrt{3}\sqrt{3}}$$

\frac{3\times 3}{2\sqrt{3}\sqrt{3}} maxrajini \sqrt{3} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

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

\sqrt{3} kvadrati – 3.

$$\frac{3\times 3\sqrt{3}}{2\times 3\sqrt{3}}$$

Surat va maxrajdagi ikkala \sqrt{3} ni qisqartiring.

$$\frac{3\times 3}{2\times 3}$$

9 hosil qilish uchun 3 va 3 ni ko'paytirish.

$$\frac{9}{2\times 3}$$

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

$$\frac{9}{6}$$

\frac{9}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{2}$$

Omil

$$\frac{3}{2} = 1\frac{1}{2} = 1,5$$