sqrt{(229*10^-4)^2+(905*10^-3)^2} eching

$$\sqrt { ( 229 \cdot 10 ^ { - 4 } ) ^ { 2 } + ( 905 \cdot 10 ^ { - 3 } ) ^ { 2 } }$$

Baholash

$$\frac{\sqrt{81954941}}{10000}\approx 0,905289683$$

Yechim qadamlari

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

$$\sqrt{\left(229\times \frac{1}{10000}\right)^{2}+\left(905\times 10^{-3}\right)^{2}}$$

\frac{229}{10000} hosil qilish uchun 229 va \frac{1}{10000} ni ko'paytirish.

$$\sqrt{\left(\frac{229}{10000}\right)^{2}+\left(905\times 10^{-3}\right)^{2}}$$

2 daraja ko‘rsatkichini \frac{229}{10000} ga hisoblang va \frac{52441}{100000000} ni qiymatni oling.

$$\sqrt{\frac{52441}{100000000}+\left(905\times 10^{-3}\right)^{2}}$$

-3 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{1000} ni qiymatni oling.

$$\sqrt{\frac{52441}{100000000}+\left(905\times \frac{1}{1000}\right)^{2}}$$

\frac{181}{200} hosil qilish uchun 905 va \frac{1}{1000} ni ko'paytirish.

$$\sqrt{\frac{52441}{100000000}+\left(\frac{181}{200}\right)^{2}}$$

2 daraja ko‘rsatkichini \frac{181}{200} ga hisoblang va \frac{32761}{40000} ni qiymatni oling.

$$\sqrt{\frac{52441}{100000000}+\frac{32761}{40000}}$$

\frac{81954941}{100000000} olish uchun \frac{52441}{100000000} va \frac{32761}{40000}'ni qo'shing.

$$\sqrt{\frac{81954941}{100000000}}$$

\sqrt{\frac{81954941}{100000000}} boʻlinmasining kvadrat ildizini \frac{\sqrt{81954941}}{\sqrt{100000000}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$\frac{\sqrt{81954941}}{\sqrt{100000000}}$$

100000000 ning kvadrat ildizini hisoblab, 10000 natijaga ega bo‘ling.

$$\frac{\sqrt{81954941}}{10000}$$