Lahenda sqrt{4864284277*57879975div2754928}

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

Arvuta

$$\frac{5\sqrt{16025521611514573029}}{62612}\approx 319682,243841419$$

Lahenduse etapid

Korrutage 4864284277 ja 57879975, et leida 281544652345653075.

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

Kirjutage: allüksus \sqrt{\frac{281544652345653075}{2754928}}: allüksus juured \frac{\sqrt{281544652345653075}}{\sqrt{2754928}}.

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

Tegurda 281544652345653075=5^{2}\times 11261786093826123. Kirjutage \sqrt{5^{2}\times 11261786093826123} toote juured, kui see ruut \sqrt{5^{2}}\sqrt{11261786093826123}. Leidke 5^{2} ruutjuur.

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

Tegurda 2754928=44^{2}\times 1423. Kirjutage \sqrt{44^{2}\times 1423} toote juured, kui see ruut \sqrt{44^{2}}\sqrt{1423}. Leidke 44^{2} ruutjuur.

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

Ratsionaliseerige korrutades lugeja ja \sqrt{1423} nimetaja \frac{5\sqrt{11261786093826123}}{44\sqrt{1423}} nimetaja.

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

\sqrt{1423} ruut on 1423.

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

\sqrt{11261786093826123} ja \sqrt{1423} korrutage numbrid, mis on sama juur.

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

Korrutage 44 ja 1423, et leida 62612.

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