Issolvi 3sqrt{50}+2sqrt{8}-7sqrt{98}

$$3 \sqrt{ 50 } +2 \sqrt{ 8 } -7 \sqrt{ 98 }$$

Evalwa

$$-30\sqrt{2}\approx -42.426406871$$

Passi tas-Soluzzjonijiet

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

$$3\times 5\sqrt{2}+2\sqrt{8}-7\sqrt{98}$$

Immultiplika 3 u 5 biex tikseb 15.

$$15\sqrt{2}+2\sqrt{8}-7\sqrt{98}$$

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}.

$$15\sqrt{2}+2\times 2\sqrt{2}-7\sqrt{98}$$

Immultiplika 2 u 2 biex tikseb 4.

$$15\sqrt{2}+4\sqrt{2}-7\sqrt{98}$$

Ikkombina 15\sqrt{2} u 4\sqrt{2} biex tikseb 19\sqrt{2}.

$$19\sqrt{2}-7\sqrt{98}$$

Iffattura 98=7^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{7^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{7^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 7^{2}.

$$19\sqrt{2}-7\times 7\sqrt{2}$$

Immultiplika -7 u 7 biex tikseb -49.

$$19\sqrt{2}-49\sqrt{2}$$

Ikkombina 19\sqrt{2} u -49\sqrt{2} biex tikseb -30\sqrt{2}.

$$-30\sqrt{2}$$