sqrt{(25*10^-4)^2+(01*10^-2)^2} eching

$$\sqrt { ( 25 \times 10 ^ { - 4 } ) ^ { 2 } + ( 01 \times 10 ^ { - 2 } ) ^ { 2 } }$$

Baholash

$$\frac{1}{400}=0,0025$$

Yechim qadamlari

-4 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{10000} ni qiymatni oling.

$$\sqrt{\left(25\times \frac{1}{10000}\right)^{2}+\left(0\times 1\times 10^{-2}\right)^{2}}$$

\frac{1}{400} hosil qilish uchun 25 va \frac{1}{10000} ni ko'paytirish.

$$\sqrt{\left(\frac{1}{400}\right)^{2}+\left(0\times 1\times 10^{-2}\right)^{2}}$$

2 daraja ko‘rsatkichini \frac{1}{400} ga hisoblang va \frac{1}{160000} ni qiymatni oling.

$$\sqrt{\frac{1}{160000}+\left(0\times 1\times 10^{-2}\right)^{2}}$$

0 hosil qilish uchun 0 va 1 ni ko'paytirish.

$$\sqrt{\frac{1}{160000}+\left(0\times 10^{-2}\right)^{2}}$$

-2 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{100} ni qiymatni oling.

$$\sqrt{\frac{1}{160000}+\left(0\times \frac{1}{100}\right)^{2}}$$

0 hosil qilish uchun 0 va \frac{1}{100} ni ko'paytirish.

$$\sqrt{\frac{1}{160000}+0^{2}}$$

2 daraja ko‘rsatkichini 0 ga hisoblang va 0 ni qiymatni oling.

$$\sqrt{\frac{1}{160000}+0}$$

\frac{1}{160000} olish uchun \frac{1}{160000} va 0'ni qo'shing.

$$\sqrt{\frac{1}{160000}}$$

\frac{1}{160000} boʻlinmasining kvadrat ildizini \frac{\sqrt{1}}{\sqrt{160000}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$\frac{1}{400}$$

Omil

$$\frac{1}{2 ^ {4} \cdot 5 ^ {2}} = 0,0025$$