frac{3sqrt{2}}{2sqrt{6}} eching

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

Baholash

$$\frac{\sqrt{3}}{2}\approx 0,866025404$$

Yechim qadamlari

\frac{3\sqrt{2}}{2\sqrt{6}} maxrajini \sqrt{6} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{3\sqrt{2}\sqrt{6}}{2\left(\sqrt{6}\right)^{2}}$$

\sqrt{6} kvadrati – 6.

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

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

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

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

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

12 hosil qilish uchun 2 va 6 ni ko'paytirish.

$$\frac{3\times 2\sqrt{3}}{12}$$

6 hosil qilish uchun 3 va 2 ni ko'paytirish.

$$\frac{6\sqrt{3}}{12}$$

\frac{1}{2}\sqrt{3} ni olish uchun 6\sqrt{3} ni 12 ga bo‘ling.

$$\frac{1}{2}\sqrt{3}$$