sqrt{frac{121/4}+4}{sqrt{4}} eching

$$\frac{ \sqrt{ \frac{ 121 }{ 4 } } +4 }{ \sqrt{ 4 } }$$

Baholash

$$\frac{19}{4}=4,75$$

Yechim qadamlari

\frac{121}{4} boʻlinmasining kvadrat ildizini \frac{\sqrt{121}}{\sqrt{4}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$\frac{\frac{11}{2}+4}{\sqrt{4}}$$

4 ni \frac{8}{2} kasrga o‘giring.

$$\frac{\frac{11}{2}+\frac{8}{2}}{\sqrt{4}}$$

\frac{11}{2} va \frac{8}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{11+8}{2}}{\sqrt{4}}$$

19 olish uchun 11 va 8'ni qo'shing.

$$\frac{\frac{19}{2}}{\sqrt{4}}$$

4 ning kvadrat ildizini hisoblab, 2 natijaga ega bo‘ling.

$$\frac{\frac{19}{2}}{2}$$

\frac{\frac{19}{2}}{2} ni yagona kasrga aylantiring.

$$\frac{19}{2\times 2}$$

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

$$\frac{19}{4}$$

Omil

$$\frac{19}{2 ^ {2}} = 4\frac{3}{4} = 4,75$$