Issolvi 4/4sqrt{2}*frac{sqrt{3}}{sqrt{2}}=

$$\frac { 4 } { 4 \sqrt { 2 } } \times \frac { \sqrt { 3 } } { \sqrt { 2 } } =$$

Evalwa

$$\frac{\sqrt{3}}{2}\approx 0.866025404$$

Passi tas-Soluzzjonijiet

Irrazzjonalizza d-denominatur tal-\frac{4}{4\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$\frac{4\sqrt{2}}{4\left(\sqrt{2}\right)^{2}}\times \frac{\sqrt{3}}{\sqrt{2}}$$

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

$$\frac{4\sqrt{2}}{4\times 2}\times \frac{\sqrt{3}}{\sqrt{2}}$$

Annulla 4 fin-numeratur u d-denominatur.

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

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

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

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

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

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

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

Immultiplika \frac{\sqrt{2}}{2} b'\frac{\sqrt{6}}{2} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

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

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

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

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

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

Immultiplika 2 u 2 biex tikseb 4.

$$\frac{2\sqrt{3}}{4}$$

Iddividi 2\sqrt{3} b'4 biex tikseb\frac{1}{2}\sqrt{3}.

$$\frac{1}{2}\sqrt{3}$$