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

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

Baholash

$$3\sqrt{3}\approx 5,196152423$$

Yechim qadamlari

\sqrt{6}\times \frac{3\sqrt{2}}{2} ni yagona kasrga aylantiring.

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

Faktor: 6=2\times 3. \sqrt{2\times 3} koʻpaytmasining kvadrat ildizini \sqrt{2}\sqrt{3} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing.

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

2 hosil qilish uchun \sqrt{2} va \sqrt{2} ni ko'paytirish.

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

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

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

3\sqrt{3} ni olish uchun 6\sqrt{3} ni 2 ga bo‘ling.

$$3\sqrt{3}$$