Issolvi sqrt{16(16-12)(16-12)(16-8)}

$$\sqrt { 16 ( 16 - 12 ) ( 16 - 12 ) ( 16 - 8 ) }$$

Evalwa

$$32\sqrt{2}\approx 45.254833996$$

Passi tas-Soluzzjonijiet

Immultiplika 16-12 u 16-12 biex tikseb \left(16-12\right)^{2}.

$$\sqrt{16\left(16-12\right)^{2}\left(16-8\right)}$$

Naqqas 12 minn 16 biex tikseb 4.

$$\sqrt{16\times 4^{2}\left(16-8\right)}$$

Ikkalkula 4 bil-power ta' 2 u tikseb 16.

$$\sqrt{16\times 16\left(16-8\right)}$$

Immultiplika 16 u 16 biex tikseb 256.

$$\sqrt{256\left(16-8\right)}$$

Naqqas 8 minn 16 biex tikseb 8.

$$\sqrt{256\times 8}$$

Immultiplika 256 u 8 biex tikseb 2048.

$$\sqrt{2048}$$

Iffattura 2048=32^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{32^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{32^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 32^{2}.

$$32\sqrt{2}$$