frac{5sqrt{2}}{sqrt{6}} eching

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

Baholash

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

Yechim qadamlari

\frac{5\sqrt{2}}{\sqrt{6}} maxrajini \sqrt{6} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{5\sqrt{2}\sqrt{6}}{\left(\sqrt{6}\right)^{2}}$$

\sqrt{6} kvadrati – 6.

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

Faktor: 6=2\times 3. \sqrt{2\times 3} koʻpaytmasining kvadrat ildizini \sqrt{2}\sqrt{3} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing.

$$\frac{5\sqrt{2}\sqrt{2}\sqrt{3}}{6}$$

2 hosil qilish uchun \sqrt{2} va \sqrt{2} ni ko'paytirish.

$$\frac{5\times 2\sqrt{3}}{6}$$

10 hosil qilish uchun 5 va 2 ni ko'paytirish.

$$\frac{10\sqrt{3}}{6}$$

\frac{5}{3}\sqrt{3} ni olish uchun 10\sqrt{3} ni 6 ga bo‘ling.

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