Issolvi 12/sqrt{1-frac{100{910^16}}}

$$\frac{ 12 }{ \sqrt{ 1- \frac{ 100 }{ 9 { 10 }^{ 16 } } } }$$

Evalwa

$$\frac{360000000\sqrt{899999999999999}}{899999999999999}\approx 12$$

Passi tas-Soluzzjonijiet

Ikkalkula 10 bil-power ta' 16 u tikseb 10000000000000000.

$$\frac{12}{\sqrt{1-\frac{100}{9\times 10000000000000000}}}$$

Immultiplika 9 u 10000000000000000 biex tikseb 90000000000000000.

$$\frac{12}{\sqrt{1-\frac{100}{90000000000000000}}}$$

Naqqas il-frazzjoni \frac{100}{90000000000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 100.

$$\frac{12}{\sqrt{1-\frac{1}{900000000000000}}}$$

Ikkonverti 1 fi frazzjoni \frac{900000000000000}{900000000000000}.

$$\frac{12}{\sqrt{\frac{900000000000000}{900000000000000}-\frac{1}{900000000000000}}}$$

Billi \frac{900000000000000}{900000000000000} u \frac{1}{900000000000000} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{12}{\sqrt{\frac{900000000000000-1}{900000000000000}}}$$

Naqqas 1 minn 900000000000000 biex tikseb 899999999999999.

$$\frac{12}{\sqrt{\frac{899999999999999}{900000000000000}}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{899999999999999}{900000000000000}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{899999999999999}}{\sqrt{900000000000000}}.

$$\frac{12}{\frac{\sqrt{899999999999999}}{\sqrt{900000000000000}}}$$

Ikkalkula l-għerq kwadrat ta' 900000000000000 u ikseb 30000000.

$$\frac{12}{\frac{\sqrt{899999999999999}}{30000000}}$$

Iddividi 12 b'\frac{\sqrt{899999999999999}}{30000000} billi timmultiplika 12 bir-reċiproku ta' \frac{\sqrt{899999999999999}}{30000000}.

$$\frac{12\times 30000000}{\sqrt{899999999999999}}$$

Irrazzjonalizza d-denominatur tal-\frac{12\times 30000000}{\sqrt{899999999999999}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{899999999999999}.

$$\frac{12\times 30000000\sqrt{899999999999999}}{\left(\sqrt{899999999999999}\right)^{2}}$$

Il-kwadrat ta' \sqrt{899999999999999} huwa 899999999999999.

$$\frac{12\times 30000000\sqrt{899999999999999}}{899999999999999}$$

Immultiplika 12 u 30000000 biex tikseb 360000000.

$$\frac{360000000\sqrt{899999999999999}}{899999999999999}$$