sqrt{1/2^4-1}*89916 eching

$$\sqrt{ \frac{ 1 }{ { 2 }^{ 4 } -1 } } \times 89916$$

Baholash

$$\frac{29972\sqrt{15}}{5}\approx 23216,211370506$$

Yechim qadamlari

4 daraja ko‘rsatkichini 2 ga hisoblang va 16 ni qiymatni oling.

$$89916\sqrt{\frac{1}{16-1}}$$

15 olish uchun 16 dan 1 ni ayirish.

$$89916\sqrt{\frac{1}{15}}$$

\sqrt{\frac{1}{15}} boʻlinmasining kvadrat ildizini \frac{\sqrt{1}}{\sqrt{15}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$89916\times \frac{\sqrt{1}}{\sqrt{15}}$$

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

$$89916\times \frac{1}{\sqrt{15}}$$

\frac{1}{\sqrt{15}} maxrajini \sqrt{15} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$89916\times \frac{\sqrt{15}}{\left(\sqrt{15}\right)^{2}}$$

\sqrt{15} kvadrati – 15.

$$89916\times \frac{\sqrt{15}}{15}$$

89916\times \frac{\sqrt{15}}{15} ni yagona kasrga aylantiring.

$$\frac{89916\sqrt{15}}{15}$$

\frac{29972}{5}\sqrt{15} ni olish uchun 89916\sqrt{15} ni 15 ga bo‘ling.

$$\frac{29972}{5}\sqrt{15}$$