5sqrt{2*8/5} eching

$$5 \sqrt{ 2 \times \frac{ 8 }{ 5 } }$$

Baholash

$$4\sqrt{5}\approx 8,94427191$$

Yechim qadamlari

2\times \frac{8}{5} ni yagona kasrga aylantiring.

$$5\sqrt{\frac{2\times 8}{5}}$$

16 hosil qilish uchun 2 va 8 ni ko'paytirish.

$$5\sqrt{\frac{16}{5}}$$

\sqrt{\frac{16}{5}} boʻlinmasining kvadrat ildizini \frac{\sqrt{16}}{\sqrt{5}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$5\times \frac{\sqrt{16}}{\sqrt{5}}$$

16 ning kvadrat ildizini hisoblab, 4 natijaga ega bo‘ling.

$$5\times \frac{4}{\sqrt{5}}$$

\frac{4}{\sqrt{5}} maxrajini \sqrt{5} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$5\times \frac{4\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

\sqrt{5} kvadrati – 5.

$$5\times \frac{4\sqrt{5}}{5}$$

5 va 5 ni qisqartiring.

$$4\sqrt{5}$$