Issolvi (3sqrt{50})(3sqrt{8})

$$( 3 \sqrt { 50 } ) ( 3 \sqrt { 8 } )$$

Evalwa

$$180$$

Passi tas-Soluzzjonijiet

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}.

$$3\times 5\sqrt{2}\times 3\sqrt{8}$$

Immultiplika 3 u 5 biex tikseb 15.

$$15\sqrt{2}\times 3\sqrt{8}$$

Immultiplika 15 u 3 biex tikseb 45.

$$45\sqrt{2}\sqrt{8}$$

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}.

$$45\sqrt{2}\times 2\sqrt{2}$$

Immultiplika 45 u 2 biex tikseb 90.

$$90\sqrt{2}\sqrt{2}$$

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

$$90\times 2$$

Immultiplika 90 u 2 biex tikseb 180.

$$180$$

Fattur

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