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

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

Enrhifo

$$\frac{375000000\sqrt{40254016904374002}}{61550484563263}\approx 1222.37484406$$

Camau Ateb

Evaluate trigonometric functions in the problem

$$\sqrt{\frac{1500 \cdot 981}{0.984807753012208}}$$

Lluosi 1500 a 981 i gael 1471500.

$$\sqrt{\frac{1471500}{0.984807753012208}}$$

Ehangu \frac{1471500}{0.984807753012208} drwy luosi'r rhifiadur a'r enwadur gyda 1000000000000000.

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

Lleihau'r ffracsiwn \frac{1471500000000000000000}{984807753012208} i'r graddau lleiaf posib drwy dynnu a chanslo allan 16.

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

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{91968750000000000000}{61550484563263}} fel rhaniad ail israddau \frac{\sqrt{91968750000000000000}}{\sqrt{61550484563263}}.

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

Ffactora 91968750000000000000=375000000^{2}\times 654. Ailysgrifennu ail isradd y lluoswm \sqrt{375000000^{2}\times 654} fel lluoswm ail israddau \sqrt{375000000^{2}}\sqrt{654}. Cymryd isradd 375000000^{2}.

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

Mae'n rhesymoli enwadur \frac{375000000\sqrt{654}}{\sqrt{61550484563263}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{61550484563263}.

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

Sgwâr \sqrt{61550484563263} yw 61550484563263.

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

I luosi \sqrt{654} a \sqrt{61550484563263}, dylid lluosi'r rhifau dan yr ail isradd.

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