Issolvi frac{{sqrt{32}}-0}{6}5sqrt[3]{-216}

$$\frac { { \sqrt { 32 } } - 0 } { 6 }5 \sqrt[ 3 ] { - 216 }$$

Evalwa

$$-20\sqrt{2}\approx -28.284271247$$

Passi tas-Soluzzjonijiet

Iffattura 32=4^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{4^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{4^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 4^{2}.

$$5\times \frac{4\sqrt{2}-0}{6}\sqrt[3]{-216}$$

Ikkalkola \sqrt[3]{-216} u ikseb -6.

$$5\times \frac{4\sqrt{2}-0}{6}\left(-6\right)$$

Immultiplika 5 u -6 biex tikseb -30.

$$-30\times \frac{4\sqrt{2}-0}{6}$$

Ikkanċella l-akbar fattur komuni 6 f'30 u 6.

$$-5\left(4\sqrt{2}-0\right)$$

Immultiplika -1 u 0 biex tikseb 0.

$$-5\times 4\sqrt{2}$$

Immultiplika -5 u 4 biex tikseb -20.

$$-20\sqrt{2}$$