628*5^(-9)sqrt{6*4700^2+4*4700^2} eching

$$628 \times 5 ^ { ( - 9 ) } \sqrt { 6 \times 4700 ^ { 2 } + 4 \times 4700 ^ { 2 } }$$

Baholash

$$\frac{118064\sqrt{10}}{78125}\approx 4,778894716$$

Yechim qadamlari

-9 daraja ko‘rsatkichini 5 ga hisoblang va \frac{1}{1953125} ni qiymatni oling.

$$628\times \frac{1}{1953125}\sqrt{6\times 4700^{2}+4\times 4700^{2}}$$

\frac{628}{1953125} hosil qilish uchun 628 va \frac{1}{1953125} ni ko'paytirish.

$$\frac{628}{1953125}\sqrt{6\times 4700^{2}+4\times 4700^{2}}$$

2 daraja ko‘rsatkichini 4700 ga hisoblang va 22090000 ni qiymatni oling.

$$\frac{628}{1953125}\sqrt{6\times 22090000+4\times 4700^{2}}$$

132540000 hosil qilish uchun 6 va 22090000 ni ko'paytirish.

$$\frac{628}{1953125}\sqrt{132540000+4\times 4700^{2}}$$

2 daraja ko‘rsatkichini 4700 ga hisoblang va 22090000 ni qiymatni oling.

$$\frac{628}{1953125}\sqrt{132540000+4\times 22090000}$$

88360000 hosil qilish uchun 4 va 22090000 ni ko'paytirish.

$$\frac{628}{1953125}\sqrt{132540000+88360000}$$

220900000 olish uchun 132540000 va 88360000'ni qo'shing.

$$\frac{628}{1953125}\sqrt{220900000}$$

Faktor: 220900000=4700^{2}\times 10. \sqrt{4700^{2}\times 10} koʻpaytmasining kvadrat ildizini \sqrt{4700^{2}}\sqrt{10} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 4700^{2} ning kvadrat ildizini chiqarish.

$$\frac{628}{1953125}\times 4700\sqrt{10}$$

\frac{118064}{78125} hosil qilish uchun \frac{628}{1953125} va 4700 ni ko'paytirish.

$$\frac{118064}{78125}\sqrt{10}$$