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

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

Evalwa

$$\frac{29972\sqrt{15}}{5}\approx 23216.211370506$$

Passi tas-Soluzzjonijiet

Ikkalkula 2 bil-power ta' 4 u tikseb 16.

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

Naqqas 1 minn 16 biex tikseb 15.

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

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{1}{15}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{1}}{\sqrt{15}}.

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

Ikkalkula l-għerq kwadrat ta' 1 u ikseb 1.

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

Irrazzjonalizza d-denominatur tal-\frac{1}{\sqrt{15}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{15}.

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

Il-kwadrat ta' \sqrt{15} huwa 15.

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

Esprimi 89916\times \frac{\sqrt{15}}{15} bħala frazzjoni waħda.

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

Iddividi 89916\sqrt{15} b'15 biex tikseb\frac{29972}{5}\sqrt{15}.

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