Issolvi sqrt{0.1*81/0.25*144}

$$\sqrt { \frac { 0.1 \times 81 } { 0.25 \times 144 } }$$

Evalwa

$$\frac{3\sqrt{10}}{20}\approx 0.474341649$$

Passi tas-Soluzzjonijiet

Annulla 9 fin-numeratur u d-denominatur.

$$\sqrt{\frac{0.1\times 9}{0.25\times 16}}$$

Immultiplika 0.1 u 9 biex tikseb 0.9.

$$\sqrt{\frac{0.9}{0.25\times 16}}$$

Immultiplika 0.25 u 16 biex tikseb 4.

$$\sqrt{\frac{0.9}{4}}$$

Espandi \frac{0.9}{4} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10.

$$\sqrt{\frac{9}{40}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{9}{40}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{9}}{\sqrt{40}}.

$$\frac{\sqrt{9}}{\sqrt{40}}$$

Ikkalkula l-għerq kwadrat ta' 9 u ikseb 3.

$$\frac{3}{\sqrt{40}}$$

Iffattura 40=2^{2}\times 10. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 10} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{10}. Ħu l-għerq kwadrat ta' 2^{2}.

$$\frac{3}{2\sqrt{10}}$$

Irrazzjonalizza d-denominatur tal-\frac{3}{2\sqrt{10}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{10}.

$$\frac{3\sqrt{10}}{2\left(\sqrt{10}\right)^{2}}$$

Il-kwadrat ta' \sqrt{10} huwa 10.

$$\frac{3\sqrt{10}}{2\times 10}$$

Immultiplika 2 u 10 biex tikseb 20.

$$\frac{3\sqrt{10}}{20}$$