sqrt{(11*32)+7^2-1}+4^2*10+3^2= eching

$$\sqrt { ( 11 \times 32 ) + 7 ^ { 2 } - 1 } + 4 ^ { 2 } \times 10 + 3 ^ { 2 } =$$

Baholash

$$189$$

Yechim qadamlari

352 hosil qilish uchun 11 va 32 ni ko'paytirish.

$$\sqrt{352+7^{2}-1}+4^{2}\times 10+3^{2}$$

2 daraja ko‘rsatkichini 7 ga hisoblang va 49 ni qiymatni oling.

$$\sqrt{352+49-1}+4^{2}\times 10+3^{2}$$

401 olish uchun 352 va 49'ni qo'shing.

$$\sqrt{401-1}+4^{2}\times 10+3^{2}$$

400 olish uchun 401 dan 1 ni ayirish.

$$\sqrt{400}+4^{2}\times 10+3^{2}$$

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

$$20+4^{2}\times 10+3^{2}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$20+16\times 10+3^{2}$$

160 hosil qilish uchun 16 va 10 ni ko'paytirish.

$$20+160+3^{2}$$

180 olish uchun 20 va 160'ni qo'shing.

$$180+3^{2}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$180+9$$

189 olish uchun 180 va 9'ni qo'shing.

$$189$$

Omil

$$3^{3}\times 7$$