Issolvi sqrt{288}*sqrt{1/72}

$$\sqrt { 288 } \times \sqrt { \frac { 1 } { 72 } }$$

Evalwa

$$2$$

Passi tas-Soluzzjonijiet

Iffattura 288=12^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{12^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{12^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 12^{2}.

$$12\sqrt{2}\sqrt{\frac{1}{72}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{1}{72}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{1}}{\sqrt{72}}.

$$12\sqrt{2}\times \frac{\sqrt{1}}{\sqrt{72}}$$

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

$$12\sqrt{2}\times \frac{1}{\sqrt{72}}$$

Iffattura 72=6^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{6^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{6^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 6^{2}.

$$12\sqrt{2}\times \frac{1}{6\sqrt{2}}$$

Irrazzjonalizza d-denominatur tal-\frac{1}{6\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$12\sqrt{2}\times \frac{\sqrt{2}}{6\left(\sqrt{2}\right)^{2}}$$

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

$$12\sqrt{2}\times \frac{\sqrt{2}}{6\times 2}$$

Immultiplika 6 u 2 biex tikseb 12.

$$12\sqrt{2}\times \frac{\sqrt{2}}{12}$$

Annulla 12 u 12.

$$\sqrt{2}\sqrt{2}$$

Immultiplika \sqrt{2} u \sqrt{2} biex tikseb 2.

$$2$$

Fattur

$$2$$