Lahenda sqrt{1500*981/sin(80)}

$$\sqrt{ \frac{ 1500 \times 981 }{ \sin ( 80 ) } }$$

Arvuta

$$\frac{375000000\sqrt{40254016904374002}}{61550484563263}\approx 1222,37484406$$

Lahenduse etapid

Evaluate trigonometric functions in the problem

$$\sqrt{\frac{1500 \cdot 981}{0,984807753012208}}$$

Korrutage 1500 ja 981, et leida 1471500.

$$\sqrt{\frac{1471500}{0,984807753012208}}$$

Saate \frac{1471500}{0,984807753012208} laiendada, korrutades nii lugeja kui ka nimetaja 1000000000000000.

$$\sqrt{\frac{1471500000000000000000}{984807753012208}}$$

Taandage murd \frac{1471500000000000000000}{984807753012208} vähimale ühiskordsele, eraldades ja taandades arvu 16.

$$\sqrt{\frac{91968750000000000000}{61550484563263}}$$

Kirjutage: allüksus \sqrt{\frac{91968750000000000000}{61550484563263}}: allüksus juured \frac{\sqrt{91968750000000000000}}{\sqrt{61550484563263}}.

$$\frac{\sqrt{91968750000000000000}}{\sqrt{61550484563263}}$$

Tegurda 91968750000000000000=375000000^{2}\times 654. Kirjutage \sqrt{375000000^{2}\times 654} toote juured, kui see ruut \sqrt{375000000^{2}}\sqrt{654}. Leidke 375000000^{2} ruutjuur.

$$\frac{375000000\sqrt{654}}{\sqrt{61550484563263}}$$

Ratsionaliseerige korrutades lugeja ja \sqrt{61550484563263} nimetaja \frac{375000000\sqrt{654}}{\sqrt{61550484563263}} nimetaja.

$$\frac{375000000\sqrt{654}\sqrt{61550484563263}}{\left(\sqrt{61550484563263}\right)^{2}}$$

\sqrt{61550484563263} ruut on 61550484563263.

$$\frac{375000000\sqrt{654}\sqrt{61550484563263}}{61550484563263}$$

\sqrt{654} ja \sqrt{61550484563263} korrutage numbrid, mis on sama juur.

$$\frac{375000000\sqrt{40254016904374002}}{61550484563263}$$