Issolvi (sqrt{6}+sqrt{3})sqrt{6}-sqrt{3})

$$( \sqrt { 6 } + \sqrt { 3 } ) \sqrt { 6 } - \sqrt { 3 } )$$

Evalwa

$$3\sqrt{2}+6-\sqrt{3}\approx 8.51058988$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika \sqrt{6}+\sqrt{3} b'\sqrt{6}.

$$\left(\sqrt{6}\right)^{2}+\sqrt{3}\sqrt{6}-\sqrt{3}$$

Il-kwadrat ta' \sqrt{6} huwa 6.

$$6+\sqrt{3}\sqrt{6}-\sqrt{3}$$

Iffattura 6=3\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{3}\sqrt{2}.

$$6+\sqrt{3}\sqrt{3}\sqrt{2}-\sqrt{3}$$

Immultiplika \sqrt{3} u \sqrt{3} biex tikseb 3.

$$6+3\sqrt{2}-\sqrt{3}$$