3/5*frac{sqrt{2}}{2}--4/5*frac{sqrt{2}}{2} eching

$$\frac{ 3 }{ 5 } \times \frac{ \sqrt{ 2 } }{ 2 } -- \frac{ 4 }{ 5 } \times \frac{ \sqrt{ 2 } }{ 2 }$$

Baholash

$$\frac{7\sqrt{2}}{10}\approx 0,989949494$$

Qisqa yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{5} ni \frac{\sqrt{2}}{2} ga ko‘paytiring.

$$\frac{3\sqrt{2}}{5\times 2}-\left(-\frac{4}{5}\times \frac{\sqrt{2}}{2}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{4}{5} ni \frac{\sqrt{2}}{2} ga ko‘paytiring.

$$\frac{3\sqrt{2}}{5\times 2}-\frac{-4\sqrt{2}}{5\times 2}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{3\sqrt{2}}{5\times 2}-\frac{-2\sqrt{2}}{5}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 5\times 2 va 5 ning eng kichik umumiy karralisi 2\times 5. \frac{-2\sqrt{2}}{5} ni \frac{2}{2} marotabaga ko'paytirish.

$$\frac{3\sqrt{2}}{2\times 5}-\frac{2\left(-2\right)\sqrt{2}}{2\times 5}$$

\frac{3\sqrt{2}}{2\times 5} va \frac{2\left(-2\right)\sqrt{2}}{2\times 5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3\sqrt{2}-2\left(-2\right)\sqrt{2}}{2\times 5}$$

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

$$\frac{3\sqrt{2}+4\sqrt{2}}{2\times 5}$$

3\sqrt{2}+4\sqrt{2} hisob-kitobini qiling.

$$\frac{7\sqrt{2}}{2\times 5}$$

2\times 5 ni kengaytirish.

$$\frac{7\sqrt{2}}{10}$$