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

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

Evalwa

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

Passi tas-Soluzzjonijiet

Evaluate trigonometric functions in the problem

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

Immultiplika 1500 u 981 biex tikseb 1471500.

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

Espandi \frac{1471500}{0.984807753012208} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'1000000000000000.

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

Naqqas il-frazzjoni \frac{1471500000000000000000}{984807753012208} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 16.

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

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{91968750000000000000}{61550484563263}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{91968750000000000000}}{\sqrt{61550484563263}}.

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

Iffattura 91968750000000000000=375000000^{2}\times 654. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{375000000^{2}\times 654} bħala l-prodott tal-għeruq kwadrati \sqrt{375000000^{2}}\sqrt{654}. Ħu l-għerq kwadrat ta' 375000000^{2}.

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

Irrazzjonalizza d-denominatur tal-\frac{375000000\sqrt{654}}{\sqrt{61550484563263}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{61550484563263}.

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

Il-kwadrat ta' \sqrt{61550484563263} huwa 61550484563263.

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

Biex timmultiplika \sqrt{654} u \sqrt{61550484563263}, immultiplika n-numri taħt l-għerq kwadrat.

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