sqrt{52^2-48^2}*96div52 eching

$$\sqrt{ { 52 }^{ 2 } - { 48 }^{ 2 } } \times 96 \div 52$$

Baholash

$$\frac{480}{13}\approx 36,923076923$$

Yechim qadamlari

2 daraja ko‘rsatkichini 52 ga hisoblang va 2704 ni qiymatni oling.

$$\frac{96\sqrt{2704-48^{2}}}{52}$$

2 daraja ko‘rsatkichini 48 ga hisoblang va 2304 ni qiymatni oling.

$$\frac{96\sqrt{2704-2304}}{52}$$

400 olish uchun 2704 dan 2304 ni ayirish.

$$\frac{96\sqrt{400}}{52}$$

400 ning kvadrat ildizini hisoblab, 20 natijaga ega bo‘ling.

$$\frac{96\times 20}{52}$$

1920 hosil qilish uchun 96 va 20 ni ko'paytirish.

$$\frac{1920}{52}$$

\frac{1920}{52} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{480}{13}$$

Omil

$$\frac{2 ^ {5} \cdot 3 \cdot 5}{13} = 36\frac{12}{13} = 36,92307692307692$$