Issolvi sqrt{2*98*40*10^-2}

$$\sqrt{ 2 \times 98 \times 40 \times { 10 }^{ -2 } }$$

Evalwa

$$\frac{14\sqrt{10}}{5}\approx 8.854377448$$

Passi tas-Soluzzjonijiet

Immultiplika 2 u 98 biex tikseb 196.

$$\sqrt{196\times 40\times 10^{-2}}$$

Immultiplika 196 u 40 biex tikseb 7840.

$$\sqrt{7840\times 10^{-2}}$$

Ikkalkula 10 bil-power ta' -2 u tikseb \frac{1}{100}.

$$\sqrt{7840\times \frac{1}{100}}$$

Immultiplika 7840 u \frac{1}{100} biex tikseb \frac{392}{5}.

$$\sqrt{\frac{392}{5}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{392}{5}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{392}}{\sqrt{5}}.

$$\frac{\sqrt{392}}{\sqrt{5}}$$

Iffattura 392=14^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{14^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{14^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 14^{2}.

$$\frac{14\sqrt{2}}{\sqrt{5}}$$

Irrazzjonalizza d-denominatur tal-\frac{14\sqrt{2}}{\sqrt{5}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{5}.

$$\frac{14\sqrt{2}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

Il-kwadrat ta' \sqrt{5} huwa 5.

$$\frac{14\sqrt{2}\sqrt{5}}{5}$$

Biex timmultiplika \sqrt{2} u \sqrt{5}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{14\sqrt{10}}{5}$$