3sqrt{12}frac{sqrt{3}}{4}div5sqrt{2} eching

$$3 \sqrt{ 12 } \frac{ \sqrt{ 3 } }{ 4 } \div 5 \sqrt{ 2 }$$

Baholash

$$\frac{9\sqrt{2}}{10}\approx 1,272792206$$

Yechim qadamlari

Faktor: 12=2^{2}\times 3. \sqrt{2^{2}\times 3} koʻpaytmasining kvadrat ildizini \sqrt{2^{2}}\sqrt{3} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 2^{2} ning kvadrat ildizini chiqarish.

$$\frac{3\times 2\sqrt{3}\times \frac{\sqrt{3}}{4}}{5}\sqrt{2}$$

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

$$\frac{6\sqrt{3}\times \frac{\sqrt{3}}{4}}{5}\sqrt{2}$$

6\times \frac{\sqrt{3}}{4} ni yagona kasrga aylantiring.

$$\frac{\frac{6\sqrt{3}}{4}\sqrt{3}}{5}\sqrt{2}$$

\frac{3}{2}\sqrt{3} ni olish uchun 6\sqrt{3} ni 4 ga bo‘ling.

$$\frac{\frac{3}{2}\sqrt{3}\sqrt{3}}{5}\sqrt{2}$$

3 hosil qilish uchun \sqrt{3} va \sqrt{3} ni ko'paytirish.

$$\frac{\frac{3}{2}\times 3}{5}\sqrt{2}$$

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

$$\frac{\frac{3\times 3}{2}}{5}\sqrt{2}$$

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

$$\frac{\frac{9}{2}}{5}\sqrt{2}$$

\frac{\frac{9}{2}}{5} ni yagona kasrga aylantiring.

$$\frac{9}{2\times 5}\sqrt{2}$$

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$\frac{9}{10}\sqrt{2}$$