Issolvi 5sqrt{-50}-3sqrt{-18}+2sqrt{-8}

$$5 \sqrt { - 50 } - 3 \sqrt { - 18 } + 2 \sqrt { - 8 }$$

Evalwa (complex solution)

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

Passi tas-Soluzzjonijiet

Iffattura -50=\left(5i\right)^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{\left(5i\right)^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{\left(5i\right)^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' \left(5i\right)^{2}.

$$5\times \left(5i\right)\sqrt{2}-3\sqrt{-18}+2\sqrt{-8}$$

Immultiplika 5 u 5i biex tikseb 25i.

$$25i\sqrt{2}-3\sqrt{-18}+2\sqrt{-8}$$

Iffattura -18=\left(3i\right)^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{\left(3i\right)^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{\left(3i\right)^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' \left(3i\right)^{2}.

$$25i\sqrt{2}-3\times \left(3i\right)\sqrt{2}+2\sqrt{-8}$$

Immultiplika -3 u 3i biex tikseb -9i.

$$25i\sqrt{2}-9i\sqrt{2}+2\sqrt{-8}$$

Ikkombina 25i\sqrt{2} u -9i\sqrt{2} biex tikseb 16i\sqrt{2}.

$$16i\sqrt{2}+2\sqrt{-8}$$

Iffattura -8=\left(2i\right)^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{\left(2i\right)^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{\left(2i\right)^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' \left(2i\right)^{2}.

$$16i\sqrt{2}+2\times \left(2i\right)\sqrt{2}$$

Immultiplika 2 u 2i biex tikseb 4i.

$$16i\sqrt{2}+4i\sqrt{2}$$

Ikkombina 16i\sqrt{2} u 4i\sqrt{2} biex tikseb 20i\sqrt{2}.

$$20i\sqrt{2}$$

Parti Reali (complex solution)

$$0$$

Evalwa

$$\text{Indeterminate}$$