Issolvi (sqrt{5}div(-2sqrt{5/2})

$$( \sqrt { 5 } \div ( - 2 \sqrt { \frac { 5 } { 2 } } )$$

Evalwa

$$-\frac{\sqrt{2}}{2}\approx -0.707106781$$

Passi tas-Soluzzjonijiet

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{5}{2}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{5}}{\sqrt{2}}.

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

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

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

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

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

Biex timmultiplika \sqrt{5} u \sqrt{2}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{\sqrt{5}}{-2\times \frac{\sqrt{10}}{2}}$$

Annulla 2 u 2.

$$\frac{\sqrt{5}}{-\sqrt{10}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{5}}{-\sqrt{10}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{10}.

$$\frac{\sqrt{5}\sqrt{10}}{-\left(\sqrt{10}\right)^{2}}$$

Il-kwadrat ta' \sqrt{10} huwa 10.

$$\frac{\sqrt{5}\sqrt{10}}{-10}$$

Iffattura 10=5\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{5\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{5}\sqrt{2}.

$$\frac{\sqrt{5}\sqrt{5}\sqrt{2}}{-10}$$

Immultiplika \sqrt{5} u \sqrt{5} biex tikseb 5.

$$\frac{5\sqrt{2}}{-10}$$

Iddividi 5\sqrt{2} b'-10 biex tikseb-\frac{1}{2}\sqrt{2}.

$$-\frac{1}{2}\sqrt{2}$$