Issolvi sqrt{4/3*(1/2)^2*(10/7-3/7)^2*frac{3}{2}+(frac{1}{2}-frac{1}{4})*6-[(frac{1}{4})^2:(frac{1}{4}:4)]^3}

$$\sqrt { \frac { 4 } { 3 } \times ( \frac { 1 } { 2 } ) ^ { 2 } \times ( \frac { 10 } { 7 } - \frac { 3 } { 7 } ) ^ { 2 } \times \frac { 3 } { 2 } + ( \frac { 1 } { 2 } - \frac { 1 } { 4 } ) \times 6 - [ ( \frac { 1 } { 4 } ) ^ { 2 } : ( \frac { 1 } { 4 } : 4 ) ] ^ { 3 } }$$

Evalwa

$$1$$

Passi tas-Soluzzjonijiet

Ikkalkula \frac{1}{2} bil-power ta' 2 u tikseb \frac{1}{4}.

$$\sqrt{\frac{4}{3}\times \frac{1}{4}\left(\frac{10}{7}-\frac{3}{7}\right)^{2}\times \frac{3}{2}+\left(\frac{1}{2}-\frac{1}{4}\right)\times 6-\left(\frac{\left(\frac{1}{4}\right)^{2}}{\frac{\frac{1}{4}}{4}}\right)^{3}}$$

Immultiplika \frac{4}{3} u \frac{1}{4} biex tikseb \frac{1}{3}.

$$\sqrt{\frac{1}{3}\left(\frac{10}{7}-\frac{3}{7}\right)^{2}\times \frac{3}{2}+\left(\frac{1}{2}-\frac{1}{4}\right)\times 6-\left(\frac{\left(\frac{1}{4}\right)^{2}}{\frac{\frac{1}{4}}{4}}\right)^{3}}$$

Naqqas \frac{3}{7} minn \frac{10}{7} biex tikseb 1.

$$\sqrt{\frac{1}{3}\times 1^{2}\times \frac{3}{2}+\left(\frac{1}{2}-\frac{1}{4}\right)\times 6-\left(\frac{\left(\frac{1}{4}\right)^{2}}{\frac{\frac{1}{4}}{4}}\right)^{3}}$$

Ikkalkula 1 bil-power ta' 2 u tikseb 1.

$$\sqrt{\frac{1}{3}\times 1\times \frac{3}{2}+\left(\frac{1}{2}-\frac{1}{4}\right)\times 6-\left(\frac{\left(\frac{1}{4}\right)^{2}}{\frac{\frac{1}{4}}{4}}\right)^{3}}$$

Immultiplika \frac{1}{3} u 1 biex tikseb \frac{1}{3}.

$$\sqrt{\frac{1}{3}\times \frac{3}{2}+\left(\frac{1}{2}-\frac{1}{4}\right)\times 6-\left(\frac{\left(\frac{1}{4}\right)^{2}}{\frac{\frac{1}{4}}{4}}\right)^{3}}$$

Immultiplika \frac{1}{3} u \frac{3}{2} biex tikseb \frac{1}{2}.

$$\sqrt{\frac{1}{2}+\left(\frac{1}{2}-\frac{1}{4}\right)\times 6-\left(\frac{\left(\frac{1}{4}\right)^{2}}{\frac{\frac{1}{4}}{4}}\right)^{3}}$$

Naqqas \frac{1}{4} minn \frac{1}{2} biex tikseb \frac{1}{4}.

$$\sqrt{\frac{1}{2}+\frac{1}{4}\times 6-\left(\frac{\left(\frac{1}{4}\right)^{2}}{\frac{\frac{1}{4}}{4}}\right)^{3}}$$

Immultiplika \frac{1}{4} u 6 biex tikseb \frac{3}{2}.

$$\sqrt{\frac{1}{2}+\frac{3}{2}-\left(\frac{\left(\frac{1}{4}\right)^{2}}{\frac{\frac{1}{4}}{4}}\right)^{3}}$$

Żid \frac{1}{2} u \frac{3}{2} biex tikseb 2.

$$\sqrt{2-\left(\frac{\left(\frac{1}{4}\right)^{2}}{\frac{\frac{1}{4}}{4}}\right)^{3}}$$

Ikkalkula \frac{1}{4} bil-power ta' 2 u tikseb \frac{1}{16}.

$$\sqrt{2-\left(\frac{\frac{1}{16}}{\frac{\frac{1}{4}}{4}}\right)^{3}}$$

Esprimi \frac{\frac{1}{4}}{4} bħala frazzjoni waħda.

$$\sqrt{2-\left(\frac{\frac{1}{16}}{\frac{1}{4\times 4}}\right)^{3}}$$

Immultiplika 4 u 4 biex tikseb 16.

$$\sqrt{2-\left(\frac{\frac{1}{16}}{\frac{1}{16}}\right)^{3}}$$

Iddividi \frac{1}{16} b'\frac{1}{16} biex tikseb1.

$$\sqrt{2-1^{3}}$$

Ikkalkula 1 bil-power ta' 3 u tikseb 1.

$$\sqrt{2-1}$$

Naqqas 1 minn 2 biex tikseb 1.

$$\sqrt{1}$$

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

$$1$$

Fattur

$$1$$