Issolvi sqrt{2}sqrt{8}sqrt{18}sqrt{32}

$$\sqrt { 2 } \sqrt { 8 } \sqrt { 18 } \sqrt { 32 }$$

Evalwa

$$96$$

Passi tas-Soluzzjonijiet

Iffattura 8=2\times 4. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2\times 4} bħala l-prodott tal-għeruq kwadrati \sqrt{2}\sqrt{4}.

$$\sqrt{2}\sqrt{2}\sqrt{4}\sqrt{18}\sqrt{32}$$

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

$$2\sqrt{4}\sqrt{18}\sqrt{32}$$

Iffattura 32=4\times 8. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{4\times 8} bħala l-prodott tal-għeruq kwadrati \sqrt{4}\sqrt{8}.

$$2\sqrt{4}\sqrt{18}\sqrt{4}\sqrt{8}$$

Immultiplika \sqrt{4} u \sqrt{4} biex tikseb 4.

$$2\times 4\sqrt{18}\sqrt{8}$$

Immultiplika 2 u 4 biex tikseb 8.

$$8\sqrt{18}\sqrt{8}$$

Iffattura 18=3^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{3^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 3^{2}.

$$8\times 3\sqrt{2}\sqrt{8}$$

Immultiplika 8 u 3 biex tikseb 24.

$$24\sqrt{2}\sqrt{8}$$

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}.

$$24\sqrt{2}\times 2\sqrt{2}$$

Immultiplika 24 u 2 biex tikseb 48.

$$48\sqrt{2}\sqrt{2}$$

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

$$48\times 2$$

Immultiplika 48 u 2 biex tikseb 96.

$$96$$

Fattur

$$2^{5}\times 3$$