sqrt{6411/3131{frac{313161/61213}}} eching

$$\sqrt{ \frac{ 6411 }{ \frac{ 3131 }{ \frac{ 313161 }{ 61213 } } } }$$

Baholash

$$\frac{3\sqrt{42754090353225157}}{191657903}\approx 3,236557731$$

Yechim qadamlari

6411 ni \frac{3131}{\frac{313161}{61213}} ga bo'lish 6411 ga k'paytirish \frac{3131}{\frac{313161}{61213}} ga qaytarish.

$$\sqrt{\frac{6411\times \frac{313161}{61213}}{3131}}$$

6411\times \frac{313161}{61213} ni yagona kasrga aylantiring.

$$\sqrt{\frac{\frac{6411\times 313161}{61213}}{3131}}$$

2007675171 hosil qilish uchun 6411 va 313161 ni ko'paytirish.

$$\sqrt{\frac{\frac{2007675171}{61213}}{3131}}$$

\frac{\frac{2007675171}{61213}}{3131} ni yagona kasrga aylantiring.

$$\sqrt{\frac{2007675171}{61213\times 3131}}$$

191657903 hosil qilish uchun 61213 va 3131 ni ko'paytirish.

$$\sqrt{\frac{2007675171}{191657903}}$$

\sqrt{\frac{2007675171}{191657903}} boʻlinmasining kvadrat ildizini \frac{\sqrt{2007675171}}{\sqrt{191657903}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$\frac{\sqrt{2007675171}}{\sqrt{191657903}}$$

Faktor: 2007675171=3^{2}\times 223075019. \sqrt{3^{2}\times 223075019} koʻpaytmasining kvadrat ildizini \sqrt{3^{2}}\sqrt{223075019} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 3^{2} ning kvadrat ildizini chiqarish.

$$\frac{3\sqrt{223075019}}{\sqrt{191657903}}$$

\frac{3\sqrt{223075019}}{\sqrt{191657903}} maxrajini \sqrt{191657903} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{3\sqrt{223075019}\sqrt{191657903}}{\left(\sqrt{191657903}\right)^{2}}$$

\sqrt{191657903} kvadrati – 191657903.

$$\frac{3\sqrt{223075019}\sqrt{191657903}}{191657903}$$

\sqrt{223075019} va \sqrt{191657903} ni koʻpaytirish uchun kvadrat ildiz ichidagi sonlarni koʻpaytiring.

$$\frac{3\sqrt{42754090353225157}}{191657903}$$