1/3sqrt{frac{1{5}}} eching

$$\frac { 1 } { 3 \sqrt { \frac { 1 } { 5 } } }$$

Baholash

$$\frac{\sqrt{5}}{3}\approx 0,745355992$$

Yechim qadamlari

\sqrt{\frac{1}{5}} boʻlinmasining kvadrat ildizini \frac{\sqrt{1}}{\sqrt{5}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$\frac{1}{3\times \frac{\sqrt{1}}{\sqrt{5}}}$$

1 ning kvadrat ildizini hisoblab, 1 natijaga ega bo‘ling.

$$\frac{1}{3\times \frac{1}{\sqrt{5}}}$$

\frac{1}{\sqrt{5}} maxrajini \sqrt{5} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{1}{3\times \frac{\sqrt{5}}{\left(\sqrt{5}\right)^{2}}}$$

\sqrt{5} kvadrati – 5.

$$\frac{1}{3\times \frac{\sqrt{5}}{5}}$$

3\times \frac{\sqrt{5}}{5} ni yagona kasrga aylantiring.

$$\frac{1}{\frac{3\sqrt{5}}{5}}$$

1 ni \frac{3\sqrt{5}}{5} ga bo'lish 1 ga k'paytirish \frac{3\sqrt{5}}{5} ga qaytarish.

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

\frac{5}{3\sqrt{5}} maxrajini \sqrt{5} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

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

\sqrt{5} kvadrati – 5.

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

Surat va maxrajdagi ikkala 5 ni qisqartiring.

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