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

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

Evalwa

$$\frac{965649\sqrt{7678821086223424130}}{33562537}\approx 79728168.49789837$$

Passi tas-Soluzzjonijiet

Esprimi \frac{\frac{787}{\sqrt{542}}}{457} bħala frazzjoni waħda.

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

Irrazzjonalizza d-denominatur tal-\frac{787}{\sqrt{542}\times 457} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{542}.

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

Il-kwadrat ta' \sqrt{542} huwa 542.

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

Immultiplika 542 u 457 biex tikseb 247694.

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

Esprimi 2454\times \frac{787\sqrt{542}}{247694} bħala frazzjoni waħda.

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

Esprimi \frac{2454\times 787\sqrt{542}}{247694}\sqrt{21245} bħala frazzjoni waħda.

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

Esprimi \frac{\frac{2454\times 787\sqrt{542}\sqrt{21245}}{247694}}{271} bħala frazzjoni waħda.

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

Annulla 2 fin-numeratur u d-denominatur.

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

Immultiplika 787 u 1227 biex tikseb 965649.

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

Biex timmultiplika \sqrt{542} u \sqrt{21245}, immultiplika n-numri taħt l-għerq kwadrat.

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

Immultiplika 271 u 123847 biex tikseb 33562537.

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

Esprimi \frac{965649\sqrt{11514790}}{33562537}\sqrt{666865925147} bħala frazzjoni waħda.

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

Biex timmultiplika \sqrt{11514790} u \sqrt{666865925147}, immultiplika n-numri taħt l-għerq kwadrat.

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