Issolvi 2021*3/2sqrt{1-052/50-2}

$$2021 \times \frac{ 3 }{ 2 } \sqrt{ \frac{ 1-052 }{ 50-2 } }$$

Evalwa

$$\frac{2021\sqrt{3}}{8}\approx 437.559335262$$

Passi tas-Soluzzjonijiet

Esprimi 2021\times \frac{3}{2} bħala frazzjoni waħda.

$$\frac{2021\times 3}{2}\sqrt{\frac{1-0\times 52}{50-2}}$$

Immultiplika 2021 u 3 biex tikseb 6063.

$$\frac{6063}{2}\sqrt{\frac{1-0\times 52}{50-2}}$$

Immultiplika 0 u 52 biex tikseb 0.

$$\frac{6063}{2}\sqrt{\frac{1-0}{50-2}}$$

Naqqas 0 minn 1 biex tikseb 1.

$$\frac{6063}{2}\sqrt{\frac{1}{50-2}}$$

Naqqas 2 minn 50 biex tikseb 48.

$$\frac{6063}{2}\sqrt{\frac{1}{48}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{1}{48}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{1}}{\sqrt{48}}.

$$\frac{6063}{2}\times \frac{\sqrt{1}}{\sqrt{48}}$$

Ikkalkula l-għerq kwadrat ta' 1 u ikseb 1.

$$\frac{6063}{2}\times \frac{1}{\sqrt{48}}$$

Iffattura 48=4^{2}\times 3. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{4^{2}\times 3} bħala l-prodott tal-għeruq kwadrati \sqrt{4^{2}}\sqrt{3}. Ħu l-għerq kwadrat ta' 4^{2}.

$$\frac{6063}{2}\times \frac{1}{4\sqrt{3}}$$

Irrazzjonalizza d-denominatur tal-\frac{1}{4\sqrt{3}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{3}.

$$\frac{6063}{2}\times \frac{\sqrt{3}}{4\left(\sqrt{3}\right)^{2}}$$

Il-kwadrat ta' \sqrt{3} huwa 3.

$$\frac{6063}{2}\times \frac{\sqrt{3}}{4\times 3}$$

Immultiplika 4 u 3 biex tikseb 12.

$$\frac{6063}{2}\times \frac{\sqrt{3}}{12}$$

Immultiplika \frac{6063}{2} b'\frac{\sqrt{3}}{12} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{6063\sqrt{3}}{2\times 12}$$

Annulla 3 fin-numeratur u d-denominatur.

$$\frac{2021\sqrt{3}}{2\times 4}$$

Immultiplika 2 u 4 biex tikseb 8.

$$\frac{2021\sqrt{3}}{8}$$