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

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

Arvuta

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

Lahenduse etapid

Jagage 6411 väärtusega \frac{3131}{\frac{313161}{61213}}, korrutades 6411 väärtuse \frac{3131}{\frac{313161}{61213}} pöördväärtusega.

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

Avaldage 6411\times \frac{313161}{61213} ühe murdarvuna.

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

Korrutage 6411 ja 313161, et leida 2007675171.

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

Avaldage \frac{\frac{2007675171}{61213}}{3131} ühe murdarvuna.

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

Korrutage 61213 ja 3131, et leida 191657903.

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

Kirjutage: allüksus \sqrt{\frac{2007675171}{191657903}}: allüksus juured \frac{\sqrt{2007675171}}{\sqrt{191657903}}.

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

Tegurda 2007675171=3^{2}\times 223075019. Kirjutage \sqrt{3^{2}\times 223075019} toote juured, kui see ruut \sqrt{3^{2}}\sqrt{223075019}. Leidke 3^{2} ruutjuur.

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

Ratsionaliseerige korrutades lugeja ja \sqrt{191657903} nimetaja \frac{3\sqrt{223075019}}{\sqrt{191657903}} nimetaja.

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

\sqrt{191657903} ruut on 191657903.

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

\sqrt{223075019} ja \sqrt{191657903} korrutage numbrid, mis on sama juur.

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