sqrt{((21/2-1/6+2/9)*9)-11/4} eching

$$\sqrt{ ((2 \frac{ 1 }{ 2 } - \frac{ 1 }{ 6 } + \frac{ 2 }{ 9 } ) \times 9)- \frac{ 11 }{ 4 } }$$

Baholash

$$\frac{9}{2}=4,5$$

Yechim qadamlari

4 hosil qilish uchun 2 va 2 ni ko'paytirish.

$$\sqrt{\left(\frac{4+1}{2}-\frac{1}{6}+\frac{2}{9}\right)\times 9-\frac{11}{4}}$$

5 olish uchun 4 va 1'ni qo'shing.

$$\sqrt{\left(\frac{5}{2}-\frac{1}{6}+\frac{2}{9}\right)\times 9-\frac{11}{4}}$$

2 va 6 ning eng kichik umumiy karralisi 6 ga teng. \frac{5}{2} va \frac{1}{6} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\sqrt{\left(\frac{15}{6}-\frac{1}{6}+\frac{2}{9}\right)\times 9-\frac{11}{4}}$$

\frac{15}{6} va \frac{1}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\sqrt{\left(\frac{15-1}{6}+\frac{2}{9}\right)\times 9-\frac{11}{4}}$$

14 olish uchun 15 dan 1 ni ayirish.

$$\sqrt{\left(\frac{14}{6}+\frac{2}{9}\right)\times 9-\frac{11}{4}}$$

\frac{14}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\sqrt{\left(\frac{7}{3}+\frac{2}{9}\right)\times 9-\frac{11}{4}}$$

3 va 9 ning eng kichik umumiy karralisi 9 ga teng. \frac{7}{3} va \frac{2}{9} ni 9 maxraj bilan kasrlarga aylantirib oling.

$$\sqrt{\left(\frac{21}{9}+\frac{2}{9}\right)\times 9-\frac{11}{4}}$$

\frac{21}{9} va \frac{2}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\sqrt{\frac{21+2}{9}\times 9-\frac{11}{4}}$$

23 olish uchun 21 va 2'ni qo'shing.

$$\sqrt{\frac{23}{9}\times 9-\frac{11}{4}}$$

9 va 9 ni qisqartiring.

$$\sqrt{23-\frac{11}{4}}$$

23 ni \frac{92}{4} kasrga o‘giring.

$$\sqrt{\frac{92}{4}-\frac{11}{4}}$$

\frac{92}{4} va \frac{11}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\sqrt{\frac{92-11}{4}}$$

81 olish uchun 92 dan 11 ni ayirish.

$$\sqrt{\frac{81}{4}}$$

\frac{81}{4} boʻlinmasining kvadrat ildizini \frac{\sqrt{81}}{\sqrt{4}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$\frac{9}{2}$$

Omil

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4,5$$