frac{1-sqrt{2}}{2sqrt{6}} eching

$$\frac { 1 - \sqrt { 2 } } { 2 \sqrt { 6 } }$$

Baholash

$$\frac{\sqrt{6}-2\sqrt{3}}{12}\approx -0,084550989$$

Yechim qadamlari

\frac{1-\sqrt{2}}{2\sqrt{6}} maxrajini \sqrt{6} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{\left(1-\sqrt{2}\right)\sqrt{6}}{2\left(\sqrt{6}\right)^{2}}$$

\sqrt{6} kvadrati – 6.

$$\frac{\left(1-\sqrt{2}\right)\sqrt{6}}{2\times 6}$$

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

$$\frac{\left(1-\sqrt{2}\right)\sqrt{6}}{12}$$

1-\sqrt{2} ga \sqrt{6} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{\sqrt{6}-\sqrt{2}\sqrt{6}}{12}$$

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

$$\frac{\sqrt{6}-\sqrt{2}\sqrt{2}\sqrt{3}}{12}$$

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

$$\frac{\sqrt{6}-2\sqrt{3}}{12}$$