16/sqrt{12^{2+8^2+16^2+8^2+16^2}}= eching

$$\frac { 16 } { \sqrt { 12 ^ { 2 } + 8 ^ { 2 } + 16 ^ { 2 } + 8 ^ { 2 } + 16 ^ { 2 } } } =$$

Baholash

$$\frac{4}{7}\approx 0,571428571$$

Yechim qadamlari

2 daraja ko‘rsatkichini 12 ga hisoblang va 144 ni qiymatni oling.

$$\frac{16}{\sqrt{144+8^{2}+16^{2}+8^{2}+16^{2}}}$$

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

$$\frac{16}{\sqrt{144+64+16^{2}+8^{2}+16^{2}}}$$

208 olish uchun 144 va 64'ni qo'shing.

$$\frac{16}{\sqrt{208+16^{2}+8^{2}+16^{2}}}$$

2 daraja ko‘rsatkichini 16 ga hisoblang va 256 ni qiymatni oling.

$$\frac{16}{\sqrt{208+256+8^{2}+16^{2}}}$$

464 olish uchun 208 va 256'ni qo'shing.

$$\frac{16}{\sqrt{464+8^{2}+16^{2}}}$$

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

$$\frac{16}{\sqrt{464+64+16^{2}}}$$

528 olish uchun 464 va 64'ni qo'shing.

$$\frac{16}{\sqrt{528+16^{2}}}$$

2 daraja ko‘rsatkichini 16 ga hisoblang va 256 ni qiymatni oling.

$$\frac{16}{\sqrt{528+256}}$$

784 olish uchun 528 va 256'ni qo'shing.

$$\frac{16}{\sqrt{784}}$$

784 ning kvadrat ildizini hisoblab, 28 natijaga ega bo‘ling.

$$\frac{16}{28}$$

\frac{16}{28} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{4}{7}$$

Omil

$$\frac{2 ^ {2}}{7} = 0,5714285714285714$$