Issolvi 1divsqrt{1-299^2div300^2}

$$1 \div \sqrt{ 1- { 299 }^{ 2 } \div { 300 }^{ 2 } }$$

Evalwa

$$\frac{300\sqrt{599}}{599}\approx 12.257667697$$

Passi tas-Soluzzjonijiet

Ikkalkula 299 bil-power ta' 2 u tikseb 89401.

$$\frac{1}{\sqrt{1-\frac{89401}{300^{2}}}}$$

Ikkalkula 300 bil-power ta' 2 u tikseb 90000.

$$\frac{1}{\sqrt{1-\frac{89401}{90000}}}$$

Ikkonverti 1 fi frazzjoni \frac{90000}{90000}.

$$\frac{1}{\sqrt{\frac{90000}{90000}-\frac{89401}{90000}}}$$

Billi \frac{90000}{90000} u \frac{89401}{90000} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{1}{\sqrt{\frac{90000-89401}{90000}}}$$

Naqqas 89401 minn 90000 biex tikseb 599.

$$\frac{1}{\sqrt{\frac{599}{90000}}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{599}{90000}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{599}}{\sqrt{90000}}.

$$\frac{1}{\frac{\sqrt{599}}{\sqrt{90000}}}$$

Ikkalkula l-għerq kwadrat ta' 90000 u ikseb 300.

$$\frac{1}{\frac{\sqrt{599}}{300}}$$

Iddividi 1 b'\frac{\sqrt{599}}{300} billi timmultiplika 1 bir-reċiproku ta' \frac{\sqrt{599}}{300}.

$$\frac{300}{\sqrt{599}}$$

Irrazzjonalizza d-denominatur tal-\frac{300}{\sqrt{599}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{599}.

$$\frac{300\sqrt{599}}{\left(\sqrt{599}\right)^{2}}$$

Il-kwadrat ta' \sqrt{599} huwa 599.

$$\frac{300\sqrt{599}}{599}$$