Issolvi 7sqrt{2}-3sqrt{8}+4sqrt{18}

$$7 \sqrt{ 2 } -3 \sqrt{ 8 } +4 \sqrt{ 18 }$$

Evalwa

$$13\sqrt{2}\approx 18.384776311$$

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}.

$$7\sqrt{2}-3\times 2\sqrt{2}+4\sqrt{18}$$

Immultiplika -3 u 2 biex tikseb -6.

$$7\sqrt{2}-6\sqrt{2}+4\sqrt{18}$$

Ikkombina 7\sqrt{2} u -6\sqrt{2} biex tikseb \sqrt{2}.

$$\sqrt{2}+4\sqrt{18}$$

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

$$\sqrt{2}+4\times 3\sqrt{2}$$

Immultiplika 4 u 3 biex tikseb 12.

$$\sqrt{2}+12\sqrt{2}$$

Ikkombina \sqrt{2} u 12\sqrt{2} biex tikseb 13\sqrt{2}.

$$13\sqrt{2}$$