Issolvi 8sqrt{8}-7sqrt{98}-6sqrt{50}

$$8 \sqrt { 8 } - 7 \sqrt { 98 } - 6 \sqrt { 50 }$$

Evalwa

$$-63\sqrt{2}\approx -89.09545443$$

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}.

$$8\times 2\sqrt{2}-7\sqrt{98}-6\sqrt{50}$$

Immultiplika 8 u 2 biex tikseb 16.

$$16\sqrt{2}-7\sqrt{98}-6\sqrt{50}$$

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}.

$$16\sqrt{2}-7\times 7\sqrt{2}-6\sqrt{50}$$

Immultiplika -7 u 7 biex tikseb -49.

$$16\sqrt{2}-49\sqrt{2}-6\sqrt{50}$$

Ikkombina 16\sqrt{2} u -49\sqrt{2} biex tikseb -33\sqrt{2}.

$$-33\sqrt{2}-6\sqrt{50}$$

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}.

$$-33\sqrt{2}-6\times 5\sqrt{2}$$

Immultiplika -6 u 5 biex tikseb -30.

$$-33\sqrt{2}-30\sqrt{2}$$

Ikkombina -33\sqrt{2} u -30\sqrt{2} biex tikseb -63\sqrt{2}.

$$-63\sqrt{2}$$