frac{{left(sqrt{30^2+8^2}right)}^2+30^2-8^2}{2*30*8} eching

$$\frac{ { \left( \sqrt{ { 30 }^{ 2 } + { 8 }^{ 2 } } \right) }^{ 2 } + { 30 }^{ 2 } - { 8 }^{ 2 } }{ 2 \times 30 \times 8 }$$

Baholash

$$\frac{15}{4}=3,75$$

Yechim qadamlari

2 daraja ko‘rsatkichini 30 ga hisoblang va 900 ni qiymatni oling.

$$\frac{\left(\sqrt{900+8^{2}}\right)^{2}+30^{2}-8^{2}}{2\times 30\times 8}$$

2 daraja ko‘rsatkichini 8 ga hisoblang va 64 ni qiymatni oling.

$$\frac{\left(\sqrt{900+64}\right)^{2}+30^{2}-8^{2}}{2\times 30\times 8}$$

964 olish uchun 900 va 64'ni qo'shing.

$$\frac{\left(\sqrt{964}\right)^{2}+30^{2}-8^{2}}{2\times 30\times 8}$$

\sqrt{964} kvadrati – 964.

$$\frac{964+30^{2}-8^{2}}{2\times 30\times 8}$$

2 daraja ko‘rsatkichini 30 ga hisoblang va 900 ni qiymatni oling.

$$\frac{964+900-8^{2}}{2\times 30\times 8}$$

1864 olish uchun 964 va 900'ni qo'shing.

$$\frac{1864-8^{2}}{2\times 30\times 8}$$

2 daraja ko‘rsatkichini 8 ga hisoblang va 64 ni qiymatni oling.

$$\frac{1864-64}{2\times 30\times 8}$$

1800 olish uchun 1864 dan 64 ni ayirish.

$$\frac{1800}{2\times 30\times 8}$$

60 hosil qilish uchun 2 va 30 ni ko'paytirish.

$$\frac{1800}{60\times 8}$$

480 hosil qilish uchun 60 va 8 ni ko'paytirish.

$$\frac{1800}{480}$$

\frac{1800}{480} ulushini 120 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{15}{4}$$

Omil

$$\frac{3 \cdot 5}{2 ^ {2}} = 3\frac{3}{4} = 3,75$$