3sqrt{3/2*27} eching

$$3 \sqrt{ \frac{ 3 }{ 2 } \times 27 }$$

Baholash

$$\frac{27\sqrt{2}}{2}\approx 19,091883092$$

Yechim qadamlari

\frac{3}{2}\times 27 ni yagona kasrga aylantiring.

$$3\sqrt{\frac{3\times 27}{2}}$$

81 hosil qilish uchun 3 va 27 ni ko'paytirish.

$$3\sqrt{\frac{81}{2}}$$

\sqrt{\frac{81}{2}} boʻlinmasining kvadrat ildizini \frac{\sqrt{81}}{\sqrt{2}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$3\times \frac{\sqrt{81}}{\sqrt{2}}$$

81 ning kvadrat ildizini hisoblab, 9 natijaga ega bo‘ling.

$$3\times \frac{9}{\sqrt{2}}$$

\frac{9}{\sqrt{2}} maxrajini \sqrt{2} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$3\times \frac{9\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

\sqrt{2} kvadrati – 2.

$$3\times \frac{9\sqrt{2}}{2}$$

3\times \frac{9\sqrt{2}}{2} ni yagona kasrga aylantiring.

$$\frac{3\times 9\sqrt{2}}{2}$$

27 hosil qilish uchun 3 va 9 ni ko'paytirish.

$$\frac{27\sqrt{2}}{2}$$