Rešite 100/sqrt{2}7*3/sqrt{2}cos(433)

$$\frac{ 100 }{ \sqrt{ 2 } } \frac{ 7 \cdot 3 }{ \sqrt{ 2 } } \cos ( 433 )$$

Ovrednoti

$$306,990289958873115$$

Koraki rešitve

Evaluate trigonometric functions in the problem

$$\frac{100}{\sqrt{2}} \frac{7 \cdot 3}{\sqrt{2}} 0,2923717047227363$$

Racionalizirajte imenovalec \frac{100}{\sqrt{2}} tako, da pomnožite števec in imenovalec s \sqrt{2}.

$$0,2923717047227363\times \frac{100\sqrt{2}}{\left(\sqrt{2}\right)^{2}}\times \frac{7\times 3}{\sqrt{2}}$$

Kvadrat vrednosti \sqrt{2} je 2.

$$0,2923717047227363\times \frac{100\sqrt{2}}{2}\times \frac{7\times 3}{\sqrt{2}}$$

Delite 100\sqrt{2} s/z 2, da dobite 50\sqrt{2}.

$$0,2923717047227363\times 50\sqrt{2}\times \frac{7\times 3}{\sqrt{2}}$$

Pomnožite 0,2923717047227363 in 50, da dobite 14,618585236136815.

$$14,618585236136815\sqrt{2}\times \frac{7\times 3}{\sqrt{2}}$$

Pomnožite 7 in 3, da dobite 21.

$$14,618585236136815\sqrt{2}\times \frac{21}{\sqrt{2}}$$

Racionalizirajte imenovalec \frac{21}{\sqrt{2}} tako, da pomnožite števec in imenovalec s \sqrt{2}.

$$14,618585236136815\sqrt{2}\times \frac{21\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

Kvadrat vrednosti \sqrt{2} je 2.

$$14,618585236136815\sqrt{2}\times \frac{21\sqrt{2}}{2}$$

Izrazite \sqrt{2}\times \frac{21\sqrt{2}}{2} kot enojni ulomek.

$$14,618585236136815\times \frac{\sqrt{2}\times 21\sqrt{2}}{2}$$

Pomnožite \sqrt{2} in \sqrt{2}, da dobite 2.

$$14,618585236136815\times \frac{2\times 21}{2}$$

Okrajšaj 2 in 2.

$$14,618585236136815\times 21$$

Pomnožite 14,618585236136815 in 21, da dobite 306,990289958873115.

$$306,990289958873115$$

Faktoriziraj

$$\frac{3 \cdot 7 \cdot 373 \cdot 25679 \cdot 305244889}{2 ^ {15} \cdot 5 ^ {14}} = 306\frac{198057991774624}{200000000000000} = 306,9902899588731$$