{left(5/2sqrt{5}right)}^2 eching

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

Baholash

$$\frac{5}{4}=1,25$$

Yechim qadamlari

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

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

\sqrt{5} kvadrati – 5.

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

Surat va maxrajdagi ikkala 5 ni qisqartiring.

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

\frac{\sqrt{5}}{2}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

\sqrt{5} kvadrati – 5.

$$\frac{5}{2^{2}}$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$\frac{5}{4}$$

Omil

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1,25$$