156div95*141*sqrt{4/314}*2= eching

$$156 \div 95 \times 141 \times \sqrt{ \frac{ 4 }{ 314 } } \times 2=$$

Baholash

$$\frac{43992\sqrt{314}}{14915}\approx 52,265519684$$

Yechim qadamlari

282 hosil qilish uchun 2 va 141 ni ko'paytirish.

$$282\times \frac{156}{95}\sqrt{\frac{4}{314}}$$

282\times \frac{156}{95} ni yagona kasrga aylantiring.

$$\frac{282\times 156}{95}\sqrt{\frac{4}{314}}$$

43992 hosil qilish uchun 282 va 156 ni ko'paytirish.

$$\frac{43992}{95}\sqrt{\frac{4}{314}}$$

\frac{4}{314} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{43992}{95}\sqrt{\frac{2}{157}}$$

\sqrt{\frac{2}{157}} boʻlinmasining kvadrat ildizini \frac{\sqrt{2}}{\sqrt{157}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$\frac{43992}{95}\times \frac{\sqrt{2}}{\sqrt{157}}$$

\frac{\sqrt{2}}{\sqrt{157}} maxrajini \sqrt{157} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{43992}{95}\times \frac{\sqrt{2}\sqrt{157}}{\left(\sqrt{157}\right)^{2}}$$

\sqrt{157} kvadrati – 157.

$$\frac{43992}{95}\times \frac{\sqrt{2}\sqrt{157}}{157}$$

\sqrt{2} va \sqrt{157} ni koʻpaytirish uchun kvadrat ildiz ichidagi sonlarni koʻpaytiring.

$$\frac{43992}{95}\times \frac{\sqrt{314}}{157}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{43992}{95} ni \frac{\sqrt{314}}{157} ga ko‘paytiring.

$$\frac{43992\sqrt{314}}{95\times 157}$$

14915 hosil qilish uchun 95 va 157 ni ko'paytirish.

$$\frac{43992\sqrt{314}}{14915}$$