68-70/frac{51{sqrt{50}}} eching

$$\frac{ 68-70 }{ \frac{ 51 }{ \sqrt{ 50 } } }$$

Baholash

$$-\frac{10\sqrt{2}}{51}\approx -0,277296777$$

Yechim qadamlari

-2 olish uchun 68 dan 70 ni ayirish.

$$\frac{-2}{\frac{51}{\sqrt{50}}}$$

Faktor: 50=5^{2}\times 2. \sqrt{5^{2}\times 2} koʻpaytmasining kvadrat ildizini \sqrt{5^{2}}\sqrt{2} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 5^{2} ning kvadrat ildizini chiqarish.

$$\frac{-2}{\frac{51}{5\sqrt{2}}}$$

\frac{51}{5\sqrt{2}} maxrajini \sqrt{2} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{-2}{\frac{51\sqrt{2}}{5\left(\sqrt{2}\right)^{2}}}$$

\sqrt{2} kvadrati – 2.

$$\frac{-2}{\frac{51\sqrt{2}}{5\times 2}}$$

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

$$\frac{-2}{\frac{51\sqrt{2}}{10}}$$

-2 ni \frac{51\sqrt{2}}{10} ga bo'lish -2 ga k'paytirish \frac{51\sqrt{2}}{10} ga qaytarish.

$$\frac{-2\times 10}{51\sqrt{2}}$$

\frac{-2\times 10}{51\sqrt{2}} maxrajini \sqrt{2} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{-2\times 10\sqrt{2}}{51\left(\sqrt{2}\right)^{2}}$$

\sqrt{2} kvadrati – 2.

$$\frac{-2\times 10\sqrt{2}}{51\times 2}$$

-20 hosil qilish uchun -2 va 10 ni ko'paytirish.

$$\frac{-20\sqrt{2}}{51\times 2}$$

102 hosil qilish uchun 51 va 2 ni ko'paytirish.

$$\frac{-20\sqrt{2}}{102}$$

-\frac{10}{51}\sqrt{2} ni olish uchun -20\sqrt{2} ni 102 ga bo‘ling.

$$-\frac{10}{51}\sqrt{2}$$