2-frac{3+sqrt{4}-sqrt{2}}{2sqrt{2}} eching

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

Baholash

$$-\frac{5\sqrt{2}}{4}+\frac{5}{2}\approx 0,732233047$$

Qisqa yechim qadamlari

4 ning kvadrat ildizini hisoblab, 2 natijaga ega bo‘ling.

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

5 olish uchun 3 va 2'ni qo'shing.

$$2-\frac{5-\sqrt{2}}{2\sqrt{2}}$$

\frac{5-\sqrt{2}}{2\sqrt{2}} maxrajini \sqrt{2} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

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

\sqrt{2} kvadrati – 2.

$$2-\frac{\left(5-\sqrt{2}\right)\sqrt{2}}{2\times 2}$$

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

$$2-\frac{\left(5-\sqrt{2}\right)\sqrt{2}}{4}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2 ni \frac{4}{4} marotabaga ko'paytirish.

$$\frac{2\times 4}{4}-\frac{\left(5-\sqrt{2}\right)\sqrt{2}}{4}$$

\frac{2\times 4}{4} va \frac{\left(5-\sqrt{2}\right)\sqrt{2}}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2\times 4-\left(5-\sqrt{2}\right)\sqrt{2}}{4}$$

2\times 4-\left(5-\sqrt{2}\right)\sqrt{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{8-5\sqrt{2}+2}{4}$$

8-5\sqrt{2}+2 hisob-kitobini qiling.

$$\frac{10-5\sqrt{2}}{4}$$

Omil

$$\frac{5 \sqrt{2} {(\sqrt{2} - 1)}}{4} = 0,7322330470336313$$