Lutasin ang 3/4sqrt{10}-1/6sqrt{13}+1/2sqrt{10}+2/3sqrt{13}

$$\frac { 3 } { 4 } \sqrt { 10 } - \frac { 1 } { 6 } \sqrt { 13 } + \frac { 1 } { 2 } \sqrt { 10 } + \frac { 2 } { 3 } \sqrt { 13 }$$

I-evaluate

$$\frac{\sqrt{13}}{2}+\frac{5\sqrt{10}}{4}\approx 5.755622713$$

Mga Hakbang ng Solution

Pagsamahin ang \frac{3}{4}\sqrt{10} at \frac{1}{2}\sqrt{10} para makuha ang \frac{5}{4}\sqrt{10}.

$$\frac{5}{4}\sqrt{10}-\frac{1}{6}\sqrt{13}+\frac{2}{3}\sqrt{13}$$

Pagsamahin ang -\frac{1}{6}\sqrt{13} at \frac{2}{3}\sqrt{13} para makuha ang \frac{1}{2}\sqrt{13}.

$$\frac{5}{4}\sqrt{10}+\frac{1}{2}\sqrt{13}$$

I-factor

$$\frac{2 \sqrt{13} + 5 \sqrt{10}}{4} = 5.755622712942469$$