frac{sqrt{54}*sqrt{6}}{sqrt{3}} eching

$$\frac { \sqrt { 54 } \times \sqrt { 6 } } { \sqrt { 3 } }$$

Baholash

$$6\sqrt{3}\approx 10,392304845$$

Yechim qadamlari

Faktor: 54=6\times 9. \sqrt{6\times 9} koʻpaytmasining kvadrat ildizini \sqrt{6}\sqrt{9} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing.

$$\frac{\sqrt{6}\sqrt{9}\sqrt{6}}{\sqrt{3}}$$

6 hosil qilish uchun \sqrt{6} va \sqrt{6} ni ko'paytirish.

$$\frac{6\sqrt{9}}{\sqrt{3}}$$

9 ning kvadrat ildizini hisoblab, 3 natijaga ega bo‘ling.

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

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

$$\frac{18}{\sqrt{3}}$$

\frac{18}{\sqrt{3}} maxrajini \sqrt{3} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{18\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

\sqrt{3} kvadrati – 3.

$$\frac{18\sqrt{3}}{3}$$

6\sqrt{3} ni olish uchun 18\sqrt{3} ni 3 ga bo‘ling.

$$6\sqrt{3}$$