Issolvi sqrt{4864284277*57879975div2754928}

$$\sqrt{ 4864284277 \times 57879975 \div 2754928 }$$

Evalwa

$$\frac{5\sqrt{16025521611514573029}}{62612}\approx 319682.243841419$$

Passi tas-Soluzzjonijiet

Immultiplika 4864284277 u 57879975 biex tikseb 281544652345653075.

$$\sqrt{\frac{281544652345653075}{2754928}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{281544652345653075}{2754928}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{281544652345653075}}{\sqrt{2754928}}.

$$\frac{\sqrt{281544652345653075}}{\sqrt{2754928}}$$

Iffattura 281544652345653075=5^{2}\times 11261786093826123. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{5^{2}\times 11261786093826123} bħala l-prodott tal-għeruq kwadrati \sqrt{5^{2}}\sqrt{11261786093826123}. Ħu l-għerq kwadrat ta' 5^{2}.

$$\frac{5\sqrt{11261786093826123}}{\sqrt{2754928}}$$

Iffattura 2754928=44^{2}\times 1423. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{44^{2}\times 1423} bħala l-prodott tal-għeruq kwadrati \sqrt{44^{2}}\sqrt{1423}. Ħu l-għerq kwadrat ta' 44^{2}.

$$\frac{5\sqrt{11261786093826123}}{44\sqrt{1423}}$$

Irrazzjonalizza d-denominatur tal-\frac{5\sqrt{11261786093826123}}{44\sqrt{1423}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{1423}.

$$\frac{5\sqrt{11261786093826123}\sqrt{1423}}{44\left(\sqrt{1423}\right)^{2}}$$

Il-kwadrat ta' \sqrt{1423} huwa 1423.

$$\frac{5\sqrt{11261786093826123}\sqrt{1423}}{44\times 1423}$$

Biex timmultiplika \sqrt{11261786093826123} u \sqrt{1423}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{5\sqrt{16025521611514573029}}{44\times 1423}$$

Immultiplika 44 u 1423 biex tikseb 62612.

$$\frac{5\sqrt{16025521611514573029}}{62612}$$