Ratkaise 99*19sqrt{2}div9(2%5sqrt{5})6-5+2*99cos(5)

$$99 \times 19 \sqrt{ 2 } \div 9(2 \% 5 \sqrt{ 5 } )6-5+2 \times 99 \cos ( 5 )$$

Laske

$$\frac{627\sqrt{10}}{5}+192,246550222165609\approx 588,796168807$$

Ratkaisun vaiheet

Evaluate trigonometric functions in the problem

$$99 \cdot 19 \sqrt{2} / 9 {(\frac{2}{100} 5 \sqrt{5})} 6 - 5 + 2 \cdot 99 \cdot 0,9961946980917455$$

Kerro 19 ja 99, niin saadaan 1881.

$$6\times \frac{1881\sqrt{2}}{9}\times 5\times \frac{2}{100}\sqrt{5}-5+2\times 99\times 0,9961946980917455$$

Jaa 1881\sqrt{2} luvulla 9, jolloin ratkaisuksi tulee 209\sqrt{2}.

$$6\times 209\sqrt{2}\times 5\times \frac{2}{100}\sqrt{5}-5+2\times 99\times 0,9961946980917455$$

Kerro 6 ja 209, niin saadaan 1254.

$$1254\sqrt{2}\times 5\times \frac{2}{100}\sqrt{5}-5+2\times 99\times 0,9961946980917455$$

Kerro 1254 ja 5, niin saadaan 6270.

$$6270\sqrt{2}\times \frac{2}{100}\sqrt{5}-5+2\times 99\times 0,9961946980917455$$

Supista murtoluku \frac{2}{100} luvulla 2.

$$6270\sqrt{2}\times \frac{1}{50}\sqrt{5}-5+2\times 99\times 0,9961946980917455$$

Kerro 6270 ja \frac{1}{50}, niin saadaan \frac{6270}{50}.

$$\frac{6270}{50}\sqrt{2}\sqrt{5}-5+2\times 99\times 0,9961946980917455$$

Supista murtoluku \frac{6270}{50} luvulla 10.

$$\frac{627}{5}\sqrt{2}\sqrt{5}-5+2\times 99\times 0,9961946980917455$$

Jos haluat kertoa \sqrt{2} ja \sqrt{5}, kerro numerot neliö pääkansiossa.

$$\frac{627}{5}\sqrt{10}-5+2\times 99\times 0,9961946980917455$$

Kerro 2 ja 99, niin saadaan 198.

$$\frac{627}{5}\sqrt{10}-5+198\times 0,9961946980917455$$

Kerro 198 ja 0,9961946980917455, niin saadaan 197,246550222165609.

$$\frac{627}{5}\sqrt{10}-5+197,246550222165609$$

Selvitä 192,246550222165609 laskemalla yhteen -5 ja 197,246550222165609.

$$\frac{627}{5}\sqrt{10}+192,246550222165609$$

Jaa tekijöihin

$$\frac{125400000000000000 \sqrt{10} + 192246550222165609}{1000000000000000} = 588\frac{796168807280384}{1000000000000000} = 588,7961688072804$$