Whakaoti i te sqrt{4864284277*57879975div2754928}

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

Aromātai

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

Ngā Upane Otinga

Whakareatia te 4864284277 ki te 57879975, ka 281544652345653075.

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

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{281544652345653075}{2754928}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{281544652345653075}}{\sqrt{2754928}}.

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

Tauwehea te 281544652345653075=5^{2}\times 11261786093826123. Tuhia anō te pūtake rua o te hua \sqrt{5^{2}\times 11261786093826123} hei hua o ngā pūtake rua \sqrt{5^{2}}\sqrt{11261786093826123}. Tuhia te pūtakerua o te 5^{2}.

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

Tauwehea te 2754928=44^{2}\times 1423. Tuhia anō te pūtake rua o te hua \sqrt{44^{2}\times 1423} hei hua o ngā pūtake rua \sqrt{44^{2}}\sqrt{1423}. Tuhia te pūtakerua o te 44^{2}.

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

Whakangāwaritia te tauraro o \frac{5\sqrt{11261786093826123}}{44\sqrt{1423}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{1423}.

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

Ko te pūrua o \sqrt{1423} ko 1423.

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

Hei whakarea \sqrt{11261786093826123} me \sqrt{1423}, whakareatia ngā tau i raro i te pūtake rua.

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

Whakareatia te 44 ki te 1423, ka 62612.

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