sqrt{sqrt{1+4+sqrt{121}}-15^2:5^2:3}= eching

$$\sqrt { \sqrt { 1 + 4 + \sqrt { 121 } } - 15 ^ { 2 } : 5 ^ { 2 } : 3 } =$$

Baholash

$$1$$

Yechim qadamlari

5 olish uchun 1 va 4'ni qo'shing.

$$\sqrt{\sqrt{5+\sqrt{121}}-\frac{\frac{15^{2}}{5^{2}}}{3}}$$

121 ning kvadrat ildizini hisoblab, 11 natijaga ega bo‘ling.

$$\sqrt{\sqrt{5+11}-\frac{\frac{15^{2}}{5^{2}}}{3}}$$

16 olish uchun 5 va 11'ni qo'shing.

$$\sqrt{\sqrt{16}-\frac{\frac{15^{2}}{5^{2}}}{3}}$$

16 ning kvadrat ildizini hisoblab, 4 natijaga ega bo‘ling.

$$\sqrt{4-\frac{\frac{15^{2}}{5^{2}}}{3}}$$

\frac{\frac{15^{2}}{5^{2}}}{3} ni yagona kasrga aylantiring.

$$\sqrt{4-\frac{15^{2}}{5^{2}\times 3}}$$

2 daraja ko‘rsatkichini 15 ga hisoblang va 225 ni qiymatni oling.

$$\sqrt{4-\frac{225}{5^{2}\times 3}}$$

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$\sqrt{4-\frac{225}{25\times 3}}$$

75 hosil qilish uchun 25 va 3 ni ko'paytirish.

$$\sqrt{4-\frac{225}{75}}$$

3 ni olish uchun 225 ni 75 ga bo‘ling.

$$\sqrt{4-3}$$

1 olish uchun 4 dan 3 ni ayirish.

$$\sqrt{1}$$

1 ning kvadrat ildizini hisoblab, 1 natijaga ega bo‘ling.

$$1$$

Omil

$$1$$