Issolvi 15sqrt{20}-02sqrt{45b^7}+5sqrt{500}-08sqrt{80b^7}

$$15 \sqrt { 20 } - 02 \sqrt { 45 b ^ { 7 } } + 5 \sqrt { 500 } - 08 \sqrt { 80 b ^ { 7 } }$$

Evalwa

$$80\sqrt{5}\approx 178.8854382$$

Passi tas-Soluzzjonijiet

Iffattura 20=2^{2}\times 5. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 5} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{5}. Ħu l-għerq kwadrat ta' 2^{2}.

$$15\times 2\sqrt{5}-0\times 2\sqrt{45b^{7}}+5\sqrt{500}-0\times 8\sqrt{80b^{7}}$$

Immultiplika 15 u 2 biex tikseb 30.

$$30\sqrt{5}-0\times 2\sqrt{45b^{7}}+5\sqrt{500}-0\times 8\sqrt{80b^{7}}$$

Immultiplika 0 u 2 biex tikseb 0.

$$30\sqrt{5}-0\sqrt{45b^{7}}+5\sqrt{500}-0\times 8\sqrt{80b^{7}}$$

Xi ħaġa mmultiplikata b'żero jirriżulta f'żero.

$$30\sqrt{5}-0+5\sqrt{500}-0\times 8\sqrt{80b^{7}}$$

Iffattura 500=10^{2}\times 5. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{10^{2}\times 5} bħala l-prodott tal-għeruq kwadrati \sqrt{10^{2}}\sqrt{5}. Ħu l-għerq kwadrat ta' 10^{2}.

$$30\sqrt{5}-0+5\times 10\sqrt{5}-0\times 8\sqrt{80b^{7}}$$

Immultiplika 5 u 10 biex tikseb 50.

$$30\sqrt{5}-0+50\sqrt{5}-0\times 8\sqrt{80b^{7}}$$

Immultiplika 0 u 8 biex tikseb 0.

$$30\sqrt{5}-0+50\sqrt{5}-0\sqrt{80b^{7}}$$

Xi ħaġa mmultiplikata b'żero jirriżulta f'żero.

$$30\sqrt{5}-0+50\sqrt{5}-0$$

Immultiplika -1 u 0 biex tikseb 0.

$$30\sqrt{5}+0+50\sqrt{5}-0$$

Xi ħaġa plus żero jirriżulta f'dan in-numru stess.

$$30\sqrt{5}+50\sqrt{5}-0$$

Ikkombina 30\sqrt{5} u 50\sqrt{5} biex tikseb 80\sqrt{5}.

$$80\sqrt{5}-0$$

Immultiplika -1 u 0 biex tikseb 0.

$$80\sqrt{5}+0$$

Xi ħaġa plus żero jirriżulta f'dan in-numru stess.

$$80\sqrt{5}$$