027*sqrt{95*10^-6*(3000-1205)*981/1205*513^06}= eching

$$027 \times \sqrt{ \frac{ 95 \times { 10 }^{ -6 } \times (3000-1205) \times 981 }{ 1205 } \times { 513 }^{ 06 } } =$$

Baholash

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Yechim qadamlari

0 hosil qilish uchun 0 va 27 ni ko'paytirish.

$$0\sqrt{\frac{95\times 10^{-6}\left(3000-1205\right)\times 981}{1205}\times 513^{0\times 6}}$$

-6 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{1000000} ni qiymatni oling.

$$0\sqrt{\frac{95\times \frac{1}{1000000}\left(3000-1205\right)\times 981}{1205}\times 513^{0\times 6}}$$

\frac{19}{200000} hosil qilish uchun 95 va \frac{1}{1000000} ni ko'paytirish.

$$0\sqrt{\frac{\frac{19}{200000}\left(3000-1205\right)\times 981}{1205}\times 513^{0\times 6}}$$

1795 olish uchun 3000 dan 1205 ni ayirish.

$$0\sqrt{\frac{\frac{19}{200000}\times 1795\times 981}{1205}\times 513^{0\times 6}}$$

\frac{6821}{40000} hosil qilish uchun \frac{19}{200000} va 1795 ni ko'paytirish.

$$0\sqrt{\frac{\frac{6821}{40000}\times 981}{1205}\times 513^{0\times 6}}$$

\frac{6691401}{40000} hosil qilish uchun \frac{6821}{40000} va 981 ni ko'paytirish.

$$0\sqrt{\frac{\frac{6691401}{40000}}{1205}\times 513^{0\times 6}}$$

\frac{\frac{6691401}{40000}}{1205} ni yagona kasrga aylantiring.

$$0\sqrt{\frac{6691401}{40000\times 1205}\times 513^{0\times 6}}$$

48200000 hosil qilish uchun 40000 va 1205 ni ko'paytirish.

$$0\sqrt{\frac{6691401}{48200000}\times 513^{0\times 6}}$$

0 hosil qilish uchun 0 va 6 ni ko'paytirish.

$$0\sqrt{\frac{6691401}{48200000}\times 513^{0}}$$

0 daraja ko‘rsatkichini 513 ga hisoblang va 1 ni qiymatni oling.

$$0\sqrt{\frac{6691401}{48200000}\times 1}$$

\frac{6691401}{48200000} hosil qilish uchun \frac{6691401}{48200000} va 1 ni ko'paytirish.

$$0\sqrt{\frac{6691401}{48200000}}$$

\sqrt{\frac{6691401}{48200000}} boʻlinmasining kvadrat ildizini \frac{\sqrt{6691401}}{\sqrt{48200000}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$0\times \frac{\sqrt{6691401}}{\sqrt{48200000}}$$

Faktor: 6691401=3^{2}\times 743489. \sqrt{3^{2}\times 743489} koʻpaytmasining kvadrat ildizini \sqrt{3^{2}}\sqrt{743489} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 3^{2} ning kvadrat ildizini chiqarish.

$$0\times \frac{3\sqrt{743489}}{\sqrt{48200000}}$$

Faktor: 48200000=200^{2}\times 1205. \sqrt{200^{2}\times 1205} koʻpaytmasining kvadrat ildizini \sqrt{200^{2}}\sqrt{1205} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 200^{2} ning kvadrat ildizini chiqarish.

$$0\times \frac{3\sqrt{743489}}{200\sqrt{1205}}$$

\frac{3\sqrt{743489}}{200\sqrt{1205}} maxrajini \sqrt{1205} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$0\times \frac{3\sqrt{743489}\sqrt{1205}}{200\left(\sqrt{1205}\right)^{2}}$$

\sqrt{1205} kvadrati – 1205.

$$0\times \frac{3\sqrt{743489}\sqrt{1205}}{200\times 1205}$$

\sqrt{743489} va \sqrt{1205} ni koʻpaytirish uchun kvadrat ildiz ichidagi sonlarni koʻpaytiring.

$$0\times \frac{3\sqrt{895904245}}{200\times 1205}$$

241000 hosil qilish uchun 200 va 1205 ni ko'paytirish.

$$0\times \frac{3\sqrt{895904245}}{241000}$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

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Omil

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