Issolvi frac{3sqrt{-17+45865}}{188^2}

$$\frac{ 3 \sqrt{ -17+45865 } }{ { 188 }^{ 2 } }$$

Evalwa

$$\frac{3\sqrt{11462}}{17672}\approx 0.018174637$$

Passi tas-Soluzzjonijiet

Żid -17 u 45865 biex tikseb 45848.

$$\frac{3\sqrt{45848}}{188^{2}}$$

Iffattura 45848=2^{2}\times 11462. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 11462} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{11462}. Ħu l-għerq kwadrat ta' 2^{2}.

$$\frac{3\times 2\sqrt{11462}}{188^{2}}$$

Immultiplika 3 u 2 biex tikseb 6.

$$\frac{6\sqrt{11462}}{188^{2}}$$

Ikkalkula 188 bil-power ta' 2 u tikseb 35344.

$$\frac{6\sqrt{11462}}{35344}$$

Iddividi 6\sqrt{11462} b'35344 biex tikseb\frac{3}{17672}\sqrt{11462}.

$$\frac{3}{17672}\sqrt{11462}$$