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

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

Baholash

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

Yechim qadamlari

Evaluate trigonometric functions in the problem

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

1471500 hosil qilish uchun 1500 va 981 ni ko'paytirish.

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

\frac{1471500}{0,984807753012208} kasrini uning surat va maxrajini 1000000000000000 ga ko‘paytirish bilan kengaytiring.

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

\frac{1471500000000000000000}{984807753012208} ulushini 16 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

\sqrt{\frac{91968750000000000000}{61550484563263}} boʻlinmasining kvadrat ildizini \frac{\sqrt{91968750000000000000}}{\sqrt{61550484563263}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

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

Faktor: 91968750000000000000=375000000^{2}\times 654. \sqrt{375000000^{2}\times 654} koʻpaytmasining kvadrat ildizini \sqrt{375000000^{2}}\sqrt{654} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 375000000^{2} ning kvadrat ildizini chiqarish.

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

\frac{375000000\sqrt{654}}{\sqrt{61550484563263}} maxrajini \sqrt{61550484563263} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

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

\sqrt{61550484563263} kvadrati – 61550484563263.

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

\sqrt{654} va \sqrt{61550484563263} ni koʻpaytirish uchun kvadrat ildiz ichidagi sonlarni koʻpaytiring.

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