Lahenda 787divsqrt{542}div457*2454sqrt{21245}div271sqrt{666865925147}

$$787 \div \sqrt{ 542 } \div 457 \times 2454 \sqrt{ 21245 } \div 271 \sqrt{ 666865925147 }$$

Arvuta

$$\frac{965649\sqrt{7678821086223424130}}{33562537}\approx 79728168,49789837$$

Lahenduse etapid

Avaldage \frac{\frac{787}{\sqrt{542}}}{457} ühe murdarvuna.

$$\frac{2454\times \frac{787}{\sqrt{542}\times 457}\sqrt{21245}}{271}\sqrt{666865925147}$$

Ratsionaliseerige korrutades lugeja ja \sqrt{542} nimetaja \frac{787}{\sqrt{542}\times 457} nimetaja.

$$\frac{2454\times \frac{787\sqrt{542}}{\left(\sqrt{542}\right)^{2}\times 457}\sqrt{21245}}{271}\sqrt{666865925147}$$

\sqrt{542} ruut on 542.

$$\frac{2454\times \frac{787\sqrt{542}}{542\times 457}\sqrt{21245}}{271}\sqrt{666865925147}$$

Korrutage 542 ja 457, et leida 247694.

$$\frac{2454\times \frac{787\sqrt{542}}{247694}\sqrt{21245}}{271}\sqrt{666865925147}$$

Avaldage 2454\times \frac{787\sqrt{542}}{247694} ühe murdarvuna.

$$\frac{\frac{2454\times 787\sqrt{542}}{247694}\sqrt{21245}}{271}\sqrt{666865925147}$$

Avaldage \frac{2454\times 787\sqrt{542}}{247694}\sqrt{21245} ühe murdarvuna.

$$\frac{\frac{2454\times 787\sqrt{542}\sqrt{21245}}{247694}}{271}\sqrt{666865925147}$$

Avaldage \frac{\frac{2454\times 787\sqrt{542}\sqrt{21245}}{247694}}{271} ühe murdarvuna.

$$\frac{2454\times 787\sqrt{542}\sqrt{21245}}{247694\times 271}\sqrt{666865925147}$$

Taandage 2 nii lugejas kui ka nimetajas.

$$\frac{787\times 1227\sqrt{542}\sqrt{21245}}{271\times 123847}\sqrt{666865925147}$$

Korrutage 787 ja 1227, et leida 965649.

$$\frac{965649\sqrt{542}\sqrt{21245}}{271\times 123847}\sqrt{666865925147}$$

\sqrt{542} ja \sqrt{21245} korrutage numbrid, mis on sama juur.

$$\frac{965649\sqrt{11514790}}{271\times 123847}\sqrt{666865925147}$$

Korrutage 271 ja 123847, et leida 33562537.

$$\frac{965649\sqrt{11514790}}{33562537}\sqrt{666865925147}$$

Avaldage \frac{965649\sqrt{11514790}}{33562537}\sqrt{666865925147} ühe murdarvuna.

$$\frac{965649\sqrt{11514790}\sqrt{666865925147}}{33562537}$$

\sqrt{11514790} ja \sqrt{666865925147} korrutage numbrid, mis on sama juur.

$$\frac{965649\sqrt{7678821086223424130}}{33562537}$$