Issolvi sqrt{5}+12sqrt{8}-3sqrt{5}+4sqrt{8}

$$\sqrt { 5 } + 12 \sqrt { 8 } - 3 \sqrt { 5 } + 4 \sqrt { 8 }$$

Evalwa

$$32\sqrt{2}-2\sqrt{5}\approx 40.782698041$$

Passi tas-Soluzzjonijiet

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

$$\sqrt{5}+12\times 2\sqrt{2}-3\sqrt{5}+4\sqrt{8}$$

Immultiplika 12 u 2 biex tikseb 24.

$$\sqrt{5}+24\sqrt{2}-3\sqrt{5}+4\sqrt{8}$$

Ikkombina \sqrt{5} u -3\sqrt{5} biex tikseb -2\sqrt{5}.

$$-2\sqrt{5}+24\sqrt{2}+4\sqrt{8}$$

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

$$-2\sqrt{5}+24\sqrt{2}+4\times 2\sqrt{2}$$

Immultiplika 4 u 2 biex tikseb 8.

$$-2\sqrt{5}+24\sqrt{2}+8\sqrt{2}$$

Ikkombina 24\sqrt{2} u 8\sqrt{2} biex tikseb 32\sqrt{2}.

$$-2\sqrt{5}+32\sqrt{2}$$