4/4sqrt{2}*frac{sqrt{2}}{sqrt{2}} eching

$$\frac{ 4 }{ 4 \sqrt{ 2 } } \times \frac{ \sqrt{ 2 } }{ \sqrt{ 2 } }$$

Baholash

$$\frac{\sqrt{2}}{2}\approx 0,707106781$$

Yechim qadamlari

1 ni olish uchun \sqrt{2} ni \sqrt{2} ga bo‘ling.

$$\frac{4}{4\sqrt{2}}\times 1$$

\frac{4}{4\sqrt{2}} maxrajini \sqrt{2} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{4\sqrt{2}}{4\left(\sqrt{2}\right)^{2}}\times 1$$

\sqrt{2} kvadrati – 2.

$$\frac{4\sqrt{2}}{4\times 2}\times 1$$

Surat va maxrajdagi ikkala 4 ni qisqartiring.

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

\frac{\sqrt{2}}{2}\times 1 ni yagona kasrga aylantiring.

$$\frac{\sqrt{2}}{2}$$