562*2950*sqrt{10div3600} eching

$$562 \times 2950 \times \sqrt{ 10 \div 3600 }$$

Baholash

$$\frac{82895\sqrt{10}}{3}\approx 87379,002213219$$

Yechim qadamlari

1657900 hosil qilish uchun 562 va 2950 ni ko'paytirish.

$$1657900\sqrt{\frac{10}{3600}}$$

\frac{10}{3600} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$1657900\sqrt{\frac{1}{360}}$$

\sqrt{\frac{1}{360}} boʻlinmasining kvadrat ildizini \frac{\sqrt{1}}{\sqrt{360}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$1657900\times \frac{\sqrt{1}}{\sqrt{360}}$$

1 ning kvadrat ildizini hisoblab, 1 natijaga ega bo‘ling.

$$1657900\times \frac{1}{\sqrt{360}}$$

Faktor: 360=6^{2}\times 10. \sqrt{6^{2}\times 10} koʻpaytmasining kvadrat ildizini \sqrt{6^{2}}\sqrt{10} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 6^{2} ning kvadrat ildizini chiqarish.

$$1657900\times \frac{1}{6\sqrt{10}}$$

\frac{1}{6\sqrt{10}} maxrajini \sqrt{10} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$1657900\times \frac{\sqrt{10}}{6\left(\sqrt{10}\right)^{2}}$$

\sqrt{10} kvadrati – 10.

$$1657900\times \frac{\sqrt{10}}{6\times 10}$$

60 hosil qilish uchun 6 va 10 ni ko'paytirish.

$$1657900\times \frac{\sqrt{10}}{60}$$

1657900\times \frac{\sqrt{10}}{60} ni yagona kasrga aylantiring.

$$\frac{1657900\sqrt{10}}{60}$$

\frac{82895}{3}\sqrt{10} ni olish uchun 1657900\sqrt{10} ni 60 ga bo‘ling.

$$\frac{82895}{3}\sqrt{10}$$