sqrt{2*885*10^-1407*119/1610^-19}sqrt{1/10^17} eching

$$\sqrt{ \frac{ 2 \cdot 885 \times { 10 }^{ -14 } 07 \cdot 119 }{ 16 { 10 }^{ -19 } } } \sqrt{ \frac{ 1 }{ { 10 }^{ 17 } } }$$

Baholash

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Yechim qadamlari

Surat va maxrajdagi ikkala 2\times 8 ni qisqartiring.

$$\sqrt{\frac{0}{10^{-19}}}\sqrt{\frac{1}{10^{17}}}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\sqrt{0}\sqrt{\frac{1}{10^{17}}}$$

0 ning kvadrat ildizini hisoblab, 0 natijaga ega bo‘ling.

$$0\sqrt{\frac{1}{10^{17}}}$$

17 daraja ko‘rsatkichini 10 ga hisoblang va 100000000000000000 ni qiymatni oling.

$$0\sqrt{\frac{1}{100000000000000000}}$$

\sqrt{\frac{1}{100000000000000000}} boʻlinmasining kvadrat ildizini \frac{\sqrt{1}}{\sqrt{100000000000000000}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$0\times \frac{\sqrt{1}}{\sqrt{100000000000000000}}$$

1 ning kvadrat ildizini hisoblab, 1 natijaga ega bo‘ling.

$$0\times \frac{1}{\sqrt{100000000000000000}}$$

Faktor: 100000000000000000=100000000^{2}\times 10. \sqrt{100000000^{2}\times 10} koʻpaytmasining kvadrat ildizini \sqrt{100000000^{2}}\sqrt{10} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 100000000^{2} ning kvadrat ildizini chiqarish.

$$0\times \frac{1}{100000000\sqrt{10}}$$

\frac{1}{100000000\sqrt{10}} maxrajini \sqrt{10} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$0\times \frac{\sqrt{10}}{100000000\left(\sqrt{10}\right)^{2}}$$

\sqrt{10} kvadrati – 10.

$$0\times \frac{\sqrt{10}}{100000000\times 10}$$

1000000000 hosil qilish uchun 100000000 va 10 ni ko'paytirish.

$$0\times \frac{\sqrt{10}}{1000000000}$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

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Omil

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