1/23sqrt{2}frac{2sqrt{6}}{3} eching

$$\frac{ 1 }{ 2 } 3 \sqrt{ 2 } \frac{ 2 \sqrt{ 6 } }{ 3 }$$

Baholash

$$2\sqrt{3}\approx 3,464101615$$

Yechim qadamlari

\frac{3}{2} hosil qilish uchun 3 va \frac{1}{2} ni ko'paytirish.

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{2} ni \frac{2\sqrt{6}}{3} ga ko‘paytiring.

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

Surat va maxrajdagi ikkala 2\times 3 ni qisqartiring.

$$\sqrt{6}\sqrt{2}$$

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

$$\sqrt{2}\sqrt{3}\sqrt{2}$$

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

$$2\sqrt{3}$$