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

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

Baholash

$$1$$

Yechim qadamlari

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

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

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

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

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

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

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

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

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

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

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

$$\sqrt{1}$$

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

$$1$$

Omil

$$1$$