(3/2)(2/2)+(1/2)(sqrt{2}/2) eching

$$( 3 / 2 ) ( 2 / 2 ) + ( 1 / 2 ) ( \sqrt { 2 } / 2 )$$

Baholash

$$\frac{\sqrt{2}+6}{4}\approx 1,853553391$$

Qisqa yechim qadamlari

1 ni olish uchun 2 ni 2 ga bo‘ling.

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

\frac{3}{2} hosil qilish uchun \frac{3}{2} va 1 ni ko'paytirish.

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2} ni \frac{\sqrt{2}}{2} ga ko‘paytiring.

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

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2 va 2\times 2 ning eng kichik umumiy karralisi 2\times 2. \frac{3}{2} ni \frac{2}{2} marotabaga ko'paytirish.

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

\frac{3\times 2}{2\times 2} va \frac{\sqrt{2}}{2\times 2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

3\times 2+\sqrt{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{6+\sqrt{2}}{2\times 2}$$

2\times 2 ni kengaytirish.

$$\frac{6+\sqrt{2}}{4}$$

Omil

$$\frac{\sqrt{2} + 6}{4} = 1,8535533905932737$$