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

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

Ovrednoti

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

Koraki rešitve

Izrazite \frac{\frac{787}{\sqrt{542}}}{457} kot enojni ulomek.

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

Racionalizirajte imenovalec \frac{787}{\sqrt{542}\times 457} tako, da pomnožite števec in imenovalec s \sqrt{542}.

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

Kvadrat vrednosti \sqrt{542} je 542.

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

Pomnožite 542 in 457, da dobite 247694.

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

Izrazite 2454\times \frac{787\sqrt{542}}{247694} kot enojni ulomek.

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

Izrazite \frac{2454\times 787\sqrt{542}}{247694}\sqrt{21245} kot enojni ulomek.

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

Izrazite \frac{\frac{2454\times 787\sqrt{542}\sqrt{21245}}{247694}}{271} kot enojni ulomek.

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

Okrajšaj 2 v števcu in imenovalcu.

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

Pomnožite 787 in 1227, da dobite 965649.

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

Če želite \sqrt{542} pomnožite in \sqrt{21245}, pomnožite številke v kvadratni korenu.

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

Pomnožite 271 in 123847, da dobite 33562537.

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

Izrazite \frac{965649\sqrt{11514790}}{33562537}\sqrt{666865925147} kot enojni ulomek.

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

Če želite \sqrt{11514790} pomnožite in \sqrt{666865925147}, pomnožite številke v kvadratni korenu.

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