Issolvi left(3sqrt{2}-1right)left(sqrt{3}-sqrt{2}right)

$$\left( 3 \sqrt{ 2 } -1 \right) \left( \sqrt{ 3 } - \sqrt{ 2 } \right)$$

Evalwa

$$\sqrt{2}+3\sqrt{6}-\sqrt{3}-6\approx 1.030631983$$

Passi tas-Soluzzjonijiet

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' 3\sqrt{2}-1 b'kull terminu ta' \sqrt{3}-\sqrt{2}.

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

Biex timmultiplika \sqrt{2} u \sqrt{3}, immultiplika n-numri taħt l-għerq kwadrat.

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

Il-kwadrat ta' \sqrt{2} huwa 2.

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

Immultiplika -3 u 2 biex tikseb -6.

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