2sqrt{3}div15/sqrt{3}*5sqrt{2}= eching

$$2 \sqrt { 3 } \div \frac { 15 } { \sqrt { 3 } } \times 5 \sqrt { 2 } =$$

Baholash

$$2\sqrt{2}\approx 2,828427125$$

Yechim qadamlari

2\sqrt{3} ni \frac{15}{\sqrt{3}} ga bo'lish 2\sqrt{3} ga k'paytirish \frac{15}{\sqrt{3}} ga qaytarish.

$$5\times \frac{2\sqrt{3}\sqrt{3}}{15}\sqrt{2}$$

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

$$5\times \frac{2\times 3}{15}\sqrt{2}$$

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

$$5\times \frac{6}{15}\sqrt{2}$$

\frac{6}{15} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

5 va 5 ni qisqartiring.

$$2\sqrt{2}$$