Question

v3×(2v108-5v75)+v2×(v72-3v242)=​

Answer 1

Răspuns: $\pink{\bf \: - 93 \: }$

Explicație pas cu pas:

$\bf\sqrt{3} \cdot \big(2\sqrt{108} - 5 \sqrt{75} \big)+ \sqrt{2} \cdot \big( \sqrt{72} - 3 \sqrt{242} \big) =$

$\bf\sqrt{3} \cdot \big(2 \cdot6\sqrt{3} - 5 \cdot5\sqrt{3} \big)+ \sqrt{2} \cdot \big(6 \sqrt{2} - 3 \cdot11\sqrt{2} \big) =$

$\bf\sqrt{3} \cdot \big(12\sqrt{3} -25\sqrt{3} \big)+ \sqrt{2} \cdot \big(6 \sqrt{2} - 33\sqrt{2} \big) =$

$\bf\sqrt{3} \cdot \big(-13\sqrt{3} \big)+ \sqrt{2} \cdot \big( - 27\sqrt{2} \big) =$

$\bf - 13\sqrt{3} \cdot\sqrt{3} - \sqrt{2} \cdot 27\sqrt{2} =$

$\bf - 13 \cdot3 - 27\cdot 2 =$

$\bf - 39 - 54 =$

$\red{ \boxed{\bf \: - 93 \: }}$