Issolvi (2sqrt{3}-sqrt{2})divsqrt{2}

$$(2 \sqrt{ 3 } - \sqrt{ 2 } ) \div \sqrt{ 2 }$$

Evalwa

$$\sqrt{6}-1\approx 1.449489743$$

Passi tas-Soluzzjonijiet

Irrazzjonalizza d-denominatur tal-\frac{2\sqrt{3}-\sqrt{2}}{\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

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

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

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

Uża l-propjetà distributtiva biex timmultiplika 2\sqrt{3}-\sqrt{2} b'\sqrt{2}.

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

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

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

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

$$\frac{2\sqrt{6}-2}{2}$$

Iddividi kull terminu ta' 2\sqrt{6}-2 b'2 biex tikseb\sqrt{6}-1.

$$\sqrt{6}-1$$

Fattur

$$\sqrt{6} - 1 = 1.449489743$$