Issolvi 16sqrt{8}-12sqrt{32}+56

$$16 \sqrt { 8 } - 12 \sqrt { 32 } + 56$$

Evalwa

$$56-16\sqrt{2}\approx 33.372583002$$

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}.

$$16\times 2\sqrt{2}-12\sqrt{32}+56$$

Immultiplika 16 u 2 biex tikseb 32.

$$32\sqrt{2}-12\sqrt{32}+56$$

Iffattura 32=4^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{4^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{4^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 4^{2}.

$$32\sqrt{2}-12\times 4\sqrt{2}+56$$

Immultiplika -12 u 4 biex tikseb -48.

$$32\sqrt{2}-48\sqrt{2}+56$$

Ikkombina 32\sqrt{2} u -48\sqrt{2} biex tikseb -16\sqrt{2}.

$$-16\sqrt{2}+56$$

Fattur

$$8 {(7 - 2 \sqrt{2})} = 33.372583002$$