sqrt{frac{3/2*27}}{27}*6 eching

$$\frac{ \sqrt{ \frac{ 3 }{ 2 } \times 27 } }{ 27 } \times 6$$

Baholash

$$\sqrt{2}\approx 1,414213562$$

Yechim qadamlari

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

$$6\times \frac{\sqrt{\frac{3\times 27}{2}}}{27}$$

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

$$6\times \frac{\sqrt{\frac{81}{2}}}{27}$$

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

$$6\times \frac{\frac{\sqrt{81}}{\sqrt{2}}}{27}$$

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

$$6\times \frac{\frac{9}{\sqrt{2}}}{27}$$

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

$$6\times \frac{\frac{9\sqrt{2}}{\left(\sqrt{2}\right)^{2}}}{27}$$

\sqrt{2} kvadrati – 2.

$$6\times \frac{\frac{9\sqrt{2}}{2}}{27}$$

\frac{\frac{9\sqrt{2}}{2}}{27} ni yagona kasrga aylantiring.

$$6\times \frac{9\sqrt{2}}{2\times 27}$$

Surat va maxrajdagi ikkala 9 ni qisqartiring.

$$6\times \frac{\sqrt{2}}{2\times 3}$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$6\times \frac{\sqrt{2}}{6}$$

6 va 6 ni qisqartiring.

$$\sqrt{2}$$