Question

6√8-3√32+9√50+5√18= Calculati in ce mai desfasurat mod:

Answer 1

deci ai √8=2√2
√32=4√2
√50=5√2
√18=3√2
acum ai 
6*2√2-3*4√2+9*5√2+5*3√2=12√2-12√2+45√2+15√2=60√2

Answer 2

[tex]6 \sqrt{8} -3 \sqrt{32} +9 \sqrt{50}+5 \sqrt{18} =\\\\ =6 \sqrt{4*2} -3 \sqrt{16*2} +9 \sqrt{25*2} +5 \sqrt{9*2} \\\\ =6*2 \sqrt{2} -3*4 \sqrt{2} +9*5 \sqrt{2} +5*3 \sqrt{2} \\\\ =12 \sqrt{2} -12 \sqrt{2} +45 \sqrt{2} +15 \sqrt{2} \\\\ =12-12+45+15 \sqrt{2} \\\\ \boxed{\boxed{=60 \sqrt{2} }}[/tex]