Lahenda 687-19546^2/sqrt{57662}

$$687 - 195 \frac { 46 ^ { 2 } } { \sqrt { 57662 } }$$

Arvuta

$$-\frac{206310\sqrt{57662}}{28831}+687\approx -1031,325455512$$

Lahenduse etapid

Arvutage 2 aste 46 ja leidke 2116.

$$687-195\times \frac{2116}{\sqrt{57662}}$$

Ratsionaliseerige korrutades lugeja ja \sqrt{57662} nimetaja \frac{2116}{\sqrt{57662}} nimetaja.

$$687-195\times \frac{2116\sqrt{57662}}{\left(\sqrt{57662}\right)^{2}}$$

\sqrt{57662} ruut on 57662.

$$687-195\times \frac{2116\sqrt{57662}}{57662}$$

Jagage 2116\sqrt{57662} väärtusega 57662, et leida \frac{1058}{28831}\sqrt{57662}.

$$687-195\times \frac{1058}{28831}\sqrt{57662}$$

Avaldage 195\times \frac{1058}{28831} ühe murdarvuna.

$$687-\frac{195\times 1058}{28831}\sqrt{57662}$$

Korrutage 195 ja 1058, et leida 206310.

$$687-\frac{206310}{28831}\sqrt{57662}$$

Lahuta teguriteks

$$\frac{3 {(6602299 - 68770 \sqrt{57662})}}{28831} = -1031,3254555115366$$