6*frac{sqrt{2}}{2}-(-4/5)*frac{sqrt{2}}{2}) eching

$$6 \cdot \frac { \sqrt { 2 } } { 2 } - ( - \frac { 4 } { 5 } ) \cdot \frac { \sqrt { 2 } } { 2 } )$$

Baholash

$$\frac{17\sqrt{2}}{5}\approx 4,808326112$$

Yechim qadamlari

6 va 2 ichida eng katta umumiy 2 faktorini bekor qiling.

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

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

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

Surat va maxrajdagi ikkala 2 ni qisqartiring.

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

\frac{17}{5}\sqrt{2} ni olish uchun 3\sqrt{2} va -\frac{-2\sqrt{2}}{5} ni birlashtirish.

$$\frac{17}{5}\sqrt{2}$$