sqrt{1+1/3} eching

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

Baholash

$$\frac{2\sqrt{3}}{3}\approx 1,154700538$$

Yechim qadamlari

1 ni \frac{3}{3} kasrga o‘giring.

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

\frac{3}{3} va \frac{1}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

4 olish uchun 3 va 1'ni qo'shing.

$$\sqrt{\frac{4}{3}}$$

\sqrt{\frac{4}{3}} boʻlinmasining kvadrat ildizini \frac{\sqrt{4}}{\sqrt{3}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$\frac{\sqrt{4}}{\sqrt{3}}$$

4 ning kvadrat ildizini hisoblab, 2 natijaga ega bo‘ling.

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

\frac{2}{\sqrt{3}} maxrajini \sqrt{3} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

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

\sqrt{3} kvadrati – 3.

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