5*3sqrt{8}+64div2^23-(65+36div6+33-65) eching

$$5 \times 3 \sqrt{ 8 } +64 \div { 2 }^{ 23-(65+36 \div 6+33-65) }$$

Baholash

$$30\sqrt{2}+4194304\approx 4194346,426406872$$

Yechim qadamlari

15 hosil qilish uchun 3 va 5 ni ko'paytirish.

$$15\sqrt{8}+\frac{64}{2^{23-\left(65+\frac{36}{6}+33-65\right)}}$$

Faktor: 8=2^{2}\times 2. \sqrt{2^{2}\times 2} koʻpaytmasining kvadrat ildizini \sqrt{2^{2}}\sqrt{2} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 2^{2} ning kvadrat ildizini chiqarish.

$$15\times 2\sqrt{2}+\frac{64}{2^{23-\left(65+\frac{36}{6}+33-65\right)}}$$

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

$$30\sqrt{2}+\frac{64}{2^{23-\left(65+\frac{36}{6}+33-65\right)}}$$

6 ni olish uchun 36 ni 6 ga bo‘ling.

$$30\sqrt{2}+\frac{64}{2^{23-\left(65+6+33-65\right)}}$$

71 olish uchun 65 va 6'ni qo'shing.

$$30\sqrt{2}+\frac{64}{2^{23-\left(71+33-65\right)}}$$

104 olish uchun 71 va 33'ni qo'shing.

$$30\sqrt{2}+\frac{64}{2^{23-\left(104-65\right)}}$$

39 olish uchun 104 dan 65 ni ayirish.

$$30\sqrt{2}+\frac{64}{2^{23-39}}$$

-16 olish uchun 23 dan 39 ni ayirish.

$$30\sqrt{2}+\frac{64}{2^{-16}}$$

-16 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{65536} ni qiymatni oling.

$$30\sqrt{2}+\frac{64}{\frac{1}{65536}}$$

64 ni \frac{1}{65536} ga bo'lish 64 ga k'paytirish \frac{1}{65536} ga qaytarish.

$$30\sqrt{2}+64\times 65536$$

4194304 hosil qilish uchun 64 va 65536 ni ko'paytirish.

$$30\sqrt{2}+4194304$$