Issolvi 2pi*sqrt{32}*(sqrt{32}+sqrt{128})

$$2 \pi \times \sqrt{ 32 } \times ( \sqrt{ 32 } + \sqrt{ 128 } )$$

Evalwa

$$192\pi \approx 603.185789489$$

Passi tas-Soluzzjonijiet

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}.

$$2\pi \times 4\sqrt{2}\left(\sqrt{32}+\sqrt{128}\right)$$

Immultiplika 2 u 4 biex tikseb 8.

$$8\pi \sqrt{2}\left(\sqrt{32}+\sqrt{128}\right)$$

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}.

$$8\pi \sqrt{2}\left(4\sqrt{2}+\sqrt{128}\right)$$

Iffattura 128=8^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{8^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{8^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 8^{2}.

$$8\pi \sqrt{2}\left(4\sqrt{2}+8\sqrt{2}\right)$$

Ikkombina 4\sqrt{2} u 8\sqrt{2} biex tikseb 12\sqrt{2}.

$$8\pi \sqrt{2}\times 12\sqrt{2}$$

Immultiplika 8 u 12 biex tikseb 96.

$$96\pi \sqrt{2}\sqrt{2}$$

Immultiplika \sqrt{2} u \sqrt{2} biex tikseb 2.

$$96\pi \times 2$$

Immultiplika 96 u 2 biex tikseb 192.

$$192\pi$$