sqrt{23sqrt{3+3sqrt{5-sqrt{3^2-2^3}}}} eching

$$\sqrt { 23 \sqrt { 3 + 3 \sqrt { 5 - \sqrt { 3 ^ { 2 } - 2 ^ { 3 } } } } }$$

Baholash

$$\sqrt{69}\approx 8,306623863$$

Yechim qadamlari

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

$$\sqrt{23\sqrt{3+3\sqrt{5-\sqrt{9-2^{3}}}}}$$

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

$$\sqrt{23\sqrt{3+3\sqrt{5-\sqrt{9-8}}}}$$

1 olish uchun 9 dan 8 ni ayirish.

$$\sqrt{23\sqrt{3+3\sqrt{5-\sqrt{1}}}}$$

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

$$\sqrt{23\sqrt{3+3\sqrt{5-1}}}$$

4 olish uchun 5 dan 1 ni ayirish.

$$\sqrt{23\sqrt{3+3\sqrt{4}}}$$

4 ning kvadrat ildizini hisoblab, 2 natijaga ega bo‘ling.

$$\sqrt{23\sqrt{3+3\times 2}}$$

6 hosil qilish uchun 3 va 2 ni ko'paytirish.

$$\sqrt{23\sqrt{3+6}}$$

9 olish uchun 3 va 6'ni qo'shing.

$$\sqrt{23\sqrt{9}}$$

9 ning kvadrat ildizini hisoblab, 3 natijaga ega bo‘ling.

$$\sqrt{23\times 3}$$

69 hosil qilish uchun 23 va 3 ni ko'paytirish.

$$\sqrt{69}$$