Issolvi frac{sqrt{28*139}}{sqrt{27*6}}

$$\frac { \sqrt { 28 \cdot 139 } } { \sqrt { 27 \cdot 6 } }$$

Evalwa

$$\frac{\sqrt{1946}}{9}\approx 4.901498889$$

Passi tas-Soluzzjonijiet

Immultiplika 28 u 139 biex tikseb 3892.

$$\frac{\sqrt{3892}}{\sqrt{27\times 6}}$$

Iffattura 3892=2^{2}\times 973. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 973} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{973}. Ħu l-għerq kwadrat ta' 2^{2}.

$$\frac{2\sqrt{973}}{\sqrt{27\times 6}}$$

Immultiplika 27 u 6 biex tikseb 162.

$$\frac{2\sqrt{973}}{\sqrt{162}}$$

Iffattura 162=9^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{9^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{9^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 9^{2}.

$$\frac{2\sqrt{973}}{9\sqrt{2}}$$

Irrazzjonalizza d-denominatur tal-\frac{2\sqrt{973}}{9\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$\frac{2\sqrt{973}\sqrt{2}}{9\left(\sqrt{2}\right)^{2}}$$

Il-kwadrat ta' \sqrt{2} huwa 2.

$$\frac{2\sqrt{973}\sqrt{2}}{9\times 2}$$

Biex timmultiplika \sqrt{973} u \sqrt{2}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{2\sqrt{1946}}{9\times 2}$$

Immultiplika 9 u 2 biex tikseb 18.

$$\frac{2\sqrt{1946}}{18}$$

Iddividi 2\sqrt{1946} b'18 biex tikseb\frac{1}{9}\sqrt{1946}.

$$\frac{1}{9}\sqrt{1946}$$