3sqrt{9{left(1-frac{1/3right)}^2-3/2}{2+1/2}} eching

$$3 \sqrt{ \frac{ 9 { \left(1- \frac{ 1 }{ 3 } \right) }^{ 2 } - \frac{ 3 }{ 2 } }{ 2+ \frac{ 1 }{ 2 } } }$$

Baholash

$$3$$

Yechim qadamlari

\frac{2}{3} olish uchun 1 dan \frac{1}{3} ni ayirish.

$$3\sqrt{\frac{9\times \left(\frac{2}{3}\right)^{2}-\frac{3}{2}}{2+\frac{1}{2}}}$$

2 daraja ko‘rsatkichini \frac{2}{3} ga hisoblang va \frac{4}{9} ni qiymatni oling.

$$3\sqrt{\frac{9\times \frac{4}{9}-\frac{3}{2}}{2+\frac{1}{2}}}$$

4 hosil qilish uchun 9 va \frac{4}{9} ni ko'paytirish.

$$3\sqrt{\frac{4-\frac{3}{2}}{2+\frac{1}{2}}}$$

\frac{5}{2} olish uchun 4 dan \frac{3}{2} ni ayirish.

$$3\sqrt{\frac{\frac{5}{2}}{2+\frac{1}{2}}}$$

\frac{5}{2} olish uchun 2 va \frac{1}{2}'ni qo'shing.

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

1 ni olish uchun \frac{5}{2} ni \frac{5}{2} ga bo‘ling.

$$3\sqrt{1}$$

1 ning kvadrat ildizini hisoblab, 1 natijaga ega bo‘ling.

$$3\times 1$$

3 hosil qilish uchun 3 va 1 ni ko'paytirish.

$$3$$

Omil

$$3$$