1007*(5/3+4+sqrt{25/9}+16 eching

$$1007 \times ( \frac{ 5 }{ 3 } +4+ \sqrt{ \frac{ 25 }{ 9 } } +16$$

Baholash

$$\frac{70490}{3}\approx 23496,666666667$$

Yechim qadamlari

4 ni \frac{12}{3} kasrga o‘giring.

$$1007\left(\frac{5}{3}+\frac{12}{3}+\sqrt{\frac{25}{9}}+16\right)$$

\frac{5}{3} va \frac{12}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$1007\left(\frac{5+12}{3}+\sqrt{\frac{25}{9}}+16\right)$$

17 olish uchun 5 va 12'ni qo'shing.

$$1007\left(\frac{17}{3}+\sqrt{\frac{25}{9}}+16\right)$$

\frac{25}{9} boʻlinmasining kvadrat ildizini \frac{\sqrt{25}}{\sqrt{9}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$1007\left(\frac{17}{3}+\frac{5}{3}+16\right)$$

\frac{17}{3} va \frac{5}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$1007\left(\frac{17+5}{3}+16\right)$$

22 olish uchun 17 va 5'ni qo'shing.

$$1007\left(\frac{22}{3}+16\right)$$

16 ni \frac{48}{3} kasrga o‘giring.

$$1007\left(\frac{22}{3}+\frac{48}{3}\right)$$

\frac{22}{3} va \frac{48}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$1007\times \frac{22+48}{3}$$

70 olish uchun 22 va 48'ni qo'shing.

$$1007\times \frac{70}{3}$$

1007\times \frac{70}{3} ni yagona kasrga aylantiring.

$$\frac{1007\times 70}{3}$$

70490 hosil qilish uchun 1007 va 70 ni ko'paytirish.

$$\frac{70490}{3}$$

Omil

$$\frac{2 \cdot 5 \cdot 7 \cdot 19 \cdot 53}{3} = 23496\frac{2}{3} = 23496,666666666668$$