Issolvi 0.192-0.068/sqrt{frac{1{25-3}+1/36-3}}

$$\frac{ 0.192-0.068 }{ \sqrt{ \frac{ 1 }{ 25-3 } + \frac{ 1 }{ 36-3 } } }$$

Evalwa

$$\frac{31\sqrt{330}}{1250}\approx 0.450514373$$

Passi tas-Soluzzjonijiet

Naqqas 0.068 minn 0.192 biex tikseb 0.124.

$$\frac{0.124}{\sqrt{\frac{1}{25-3}+\frac{1}{36-3}}}$$

Naqqas 3 minn 25 biex tikseb 22.

$$\frac{0.124}{\sqrt{\frac{1}{22}+\frac{1}{36-3}}}$$

Naqqas 3 minn 36 biex tikseb 33.

$$\frac{0.124}{\sqrt{\frac{1}{22}+\frac{1}{33}}}$$

L-inqas multipli komuni ta' 22 u 33 huwa 66. Ikkonverti \frac{1}{22} u \frac{1}{33} fi frazzjonijiet bid-denominatur 66.

$$\frac{0.124}{\sqrt{\frac{3}{66}+\frac{2}{66}}}$$

Billi \frac{3}{66} u \frac{2}{66} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{0.124}{\sqrt{\frac{3+2}{66}}}$$

Żid 3 u 2 biex tikseb 5.

$$\frac{0.124}{\sqrt{\frac{5}{66}}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{5}{66}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{5}}{\sqrt{66}}.

$$\frac{0.124}{\frac{\sqrt{5}}{\sqrt{66}}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{5}}{\sqrt{66}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{66}.

$$\frac{0.124}{\frac{\sqrt{5}\sqrt{66}}{\left(\sqrt{66}\right)^{2}}}$$

Il-kwadrat ta' \sqrt{66} huwa 66.

$$\frac{0.124}{\frac{\sqrt{5}\sqrt{66}}{66}}$$

Biex timmultiplika \sqrt{5} u \sqrt{66}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{0.124}{\frac{\sqrt{330}}{66}}$$

Iddividi 0.124 b'\frac{\sqrt{330}}{66} billi timmultiplika 0.124 bir-reċiproku ta' \frac{\sqrt{330}}{66}.

$$\frac{0.124\times 66}{\sqrt{330}}$$

Irrazzjonalizza d-denominatur tal-\frac{0.124\times 66}{\sqrt{330}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{330}.

$$\frac{0.124\times 66\sqrt{330}}{\left(\sqrt{330}\right)^{2}}$$

Il-kwadrat ta' \sqrt{330} huwa 330.

$$\frac{0.124\times 66\sqrt{330}}{330}$$

Immultiplika 0.124 u 66 biex tikseb 8.184.

$$\frac{8.184\sqrt{330}}{330}$$

Iddividi 8.184\sqrt{330} b'330 biex tikseb0.0248\sqrt{330}.

$$0.0248\sqrt{330}$$