5sqrt{2div6} eching

$$5 \sqrt{ 2 \div 6 }$$

Baholash

$$\frac{5\sqrt{3}}{3}\approx 2,886751346$$

Yechim qadamlari

\frac{2}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

\sqrt{\frac{1}{3}} boʻlinmasining kvadrat ildizini \frac{\sqrt{1}}{\sqrt{3}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

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

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

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

\frac{1}{\sqrt{3}} maxrajini \sqrt{3} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

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

\sqrt{3} kvadrati – 3.

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

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

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