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

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

Baholash

$$\frac{\sqrt{2}+1-2\sqrt{3}}{2}\approx -0,524944026$$

Qisqa yechim qadamlari

\frac{1}{2} ni \frac{1}{\sqrt{2}} ga bo'lish \frac{1}{2} ga k'paytirish \frac{1}{\sqrt{2}} ga qaytarish.

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

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

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

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

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

-\sqrt{3} ni olish uchun -\frac{\sqrt{3}}{2} va -\frac{\sqrt{3}}{2} ni birlashtirish.

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

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

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

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

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

\frac{\sqrt{2}+1}{2} va \frac{2\sqrt{3}}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

Omil

$$\frac{\sqrt{2} + 1 - 2 \sqrt{3}}{2} = -0,5249440263823297$$