Question

5v27-4v48+2v108-2v75

Answer 1

Explicație pas cu pas:

$5 \sqrt{27} - 4 \sqrt{48} + 2 \sqrt{108} - 2 \sqrt{75} =$

$= 5 \sqrt{ {3}^{3} } - 4 \sqrt{ {2}^{4} \cdot 3} + 2 \sqrt{ {2}^{2} \cdot {3}^{3} } - 2 \sqrt{3 \cdot {5}^{2} }$

$= 15 \sqrt{3} - 16 \sqrt{3} + 12 \sqrt{3} - 10 \sqrt{3}$

$= 27 \sqrt{3} - 26 \sqrt{3} = \bf \sqrt{3}$