Issolvi (-2+6)^2divsqrt{12/3}

$$( - 2 + 6 ) ^ { 2 } \div \sqrt { 1 \frac { 2 } { 3 } }$$

Evalwa

$$\frac{16\sqrt{15}}{5}\approx 12.393546708$$

Passi tas-Soluzzjonijiet

Żid -2 u 6 biex tikseb 4.

$$\frac{4^{2}}{\sqrt{\frac{1\times 3+2}{3}}}$$

Ikkalkula 4 bil-power ta' 2 u tikseb 16.

$$\frac{16}{\sqrt{\frac{1\times 3+2}{3}}}$$

Immultiplika 1 u 3 biex tikseb 3.

$$\frac{16}{\sqrt{\frac{3+2}{3}}}$$

Żid 3 u 2 biex tikseb 5.

$$\frac{16}{\sqrt{\frac{5}{3}}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{5}{3}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{5}}{\sqrt{3}}.

$$\frac{16}{\frac{\sqrt{5}}{\sqrt{3}}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{5}}{\sqrt{3}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{3}.

$$\frac{16}{\frac{\sqrt{5}\sqrt{3}}{\left(\sqrt{3}\right)^{2}}}$$

Il-kwadrat ta' \sqrt{3} huwa 3.

$$\frac{16}{\frac{\sqrt{5}\sqrt{3}}{3}}$$

Biex timmultiplika \sqrt{5} u \sqrt{3}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{16}{\frac{\sqrt{15}}{3}}$$

Iddividi 16 b'\frac{\sqrt{15}}{3} billi timmultiplika 16 bir-reċiproku ta' \frac{\sqrt{15}}{3}.

$$\frac{16\times 3}{\sqrt{15}}$$

Irrazzjonalizza d-denominatur tal-\frac{16\times 3}{\sqrt{15}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{15}.

$$\frac{16\times 3\sqrt{15}}{\left(\sqrt{15}\right)^{2}}$$

Il-kwadrat ta' \sqrt{15} huwa 15.

$$\frac{16\times 3\sqrt{15}}{15}$$

Immultiplika 16 u 3 biex tikseb 48.

$$\frac{48\sqrt{15}}{15}$$

Iddividi 48\sqrt{15} b'15 biex tikseb\frac{16}{5}\sqrt{15}.

$$\frac{16}{5}\sqrt{15}$$