sqrt{75}*4*3000div314+(152+(15*2))^2 eching

$$\sqrt { 75 } \times 4 \times 3000 \div 314 + ( 152 + ( 15 \times 2 ) ) ^ { 2 }$$

Baholash

$$\frac{30000\sqrt{3}}{157}+33124\approx 33454,965122465$$

Yechim qadamlari

12000 hosil qilish uchun 4 va 3000 ni ko'paytirish.

$$\frac{12000\sqrt{75}}{314}+\left(152+15\times 2\right)^{2}$$

Faktor: 75=5^{2}\times 3. \sqrt{5^{2}\times 3} koʻpaytmasining kvadrat ildizini \sqrt{5^{2}}\sqrt{3} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 5^{2} ning kvadrat ildizini chiqarish.

$$\frac{12000\times 5\sqrt{3}}{314}+\left(152+15\times 2\right)^{2}$$

60000 hosil qilish uchun 12000 va 5 ni ko'paytirish.

$$\frac{60000\sqrt{3}}{314}+\left(152+15\times 2\right)^{2}$$

\frac{30000}{157}\sqrt{3} ni olish uchun 60000\sqrt{3} ni 314 ga bo‘ling.

$$\frac{30000}{157}\sqrt{3}+\left(152+15\times 2\right)^{2}$$

30 hosil qilish uchun 15 va 2 ni ko'paytirish.

$$\frac{30000}{157}\sqrt{3}+\left(152+30\right)^{2}$$

182 olish uchun 152 va 30'ni qo'shing.

$$\frac{30000}{157}\sqrt{3}+182^{2}$$

2 daraja ko‘rsatkichini 182 ga hisoblang va 33124 ni qiymatni oling.

$$\frac{30000}{157}\sqrt{3}+33124$$

Omil

$$\frac{4 {(7500 \sqrt{3} + 1300117)}}{157} = 33454,965122465386$$