Issolvi 68-70/frac{51{sqrt{50}}}

$$\frac{ 68-70 }{ \frac{ 51 }{ \sqrt{ 50 } } }$$

Evalwa

$$-\frac{10\sqrt{2}}{51}\approx -0.277296777$$

Passi tas-Soluzzjonijiet

Naqqas 70 minn 68 biex tikseb -2.

$$\frac{-2}{\frac{51}{\sqrt{50}}}$$

Iffattura 50=5^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{5^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{5^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 5^{2}.

$$\frac{-2}{\frac{51}{5\sqrt{2}}}$$

Irrazzjonalizza d-denominatur tal-\frac{51}{5\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$\frac{-2}{\frac{51\sqrt{2}}{5\left(\sqrt{2}\right)^{2}}}$$

Il-kwadrat ta' \sqrt{2} huwa 2.

$$\frac{-2}{\frac{51\sqrt{2}}{5\times 2}}$$

Immultiplika 5 u 2 biex tikseb 10.

$$\frac{-2}{\frac{51\sqrt{2}}{10}}$$

Iddividi -2 b'\frac{51\sqrt{2}}{10} billi timmultiplika -2 bir-reċiproku ta' \frac{51\sqrt{2}}{10}.

$$\frac{-2\times 10}{51\sqrt{2}}$$

Irrazzjonalizza d-denominatur tal-\frac{-2\times 10}{51\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$\frac{-2\times 10\sqrt{2}}{51\left(\sqrt{2}\right)^{2}}$$

Il-kwadrat ta' \sqrt{2} huwa 2.

$$\frac{-2\times 10\sqrt{2}}{51\times 2}$$

Immultiplika -2 u 10 biex tikseb -20.

$$\frac{-20\sqrt{2}}{51\times 2}$$

Immultiplika 51 u 2 biex tikseb 102.

$$\frac{-20\sqrt{2}}{102}$$

Iddividi -20\sqrt{2} b'102 biex tikseb-\frac{10}{51}\sqrt{2}.

$$-\frac{10}{51}\sqrt{2}$$