Lutasin ang 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}

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

I-evaluate

$$1$$

Mga Hakbang ng Solution

Kalkulahin ang \frac{1}{2} sa power ng 2 at kunin ang \frac{1}{4}.

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

I-multiply ang \frac{4}{3} at \frac{1}{4} para makuha ang \frac{1}{3}.

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

I-subtract ang \frac{3}{7} mula sa \frac{10}{7} para makuha ang 1.

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

Kalkulahin ang 1 sa power ng 2 at kunin ang 1.

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

I-multiply ang \frac{1}{3} at 1 para makuha ang \frac{1}{3}.

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

I-multiply ang \frac{1}{3} at \frac{3}{2} para makuha ang \frac{1}{2}.

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

I-subtract ang \frac{1}{4} mula sa \frac{1}{2} para makuha ang \frac{1}{4}.

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

I-multiply ang \frac{1}{4} at 6 para makuha ang \frac{3}{2}.

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

Idagdag ang \frac{1}{2} at \frac{3}{2} para makuha ang 2.

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

Kalkulahin ang \frac{1}{4} sa power ng 2 at kunin ang \frac{1}{16}.

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

Ipakita ang \frac{\frac{1}{4}}{4} bilang isang single fraction.

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

I-multiply ang 4 at 4 para makuha ang 16.

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

I-divide ang \frac{1}{16} gamit ang \frac{1}{16} para makuha ang 1.

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

Kalkulahin ang 1 sa power ng 3 at kunin ang 1.

$$\sqrt{2-1}$$

I-subtract ang 1 mula sa 2 para makuha ang 1.

$$\sqrt{1}$$

Kalkulahin ang square root ng 1 at makuha ang 1.

$$1$$

I-factor

$$1$$