Question

1-Calcule
a) ³√5 + 7√5=
b) 8√3 - 5√3=
c) 3√5 + √5 - 6√5=
d) 4√2 + 6√3 - 2√2 + 9√3=
e)2/5√ - 2√3 + 3√3 + 3/5√3=

Answer 1

Explicação passo-a-passo:

$a)\\ 3\sqrt{5} +7\sqrt{5} =(3+7)\sqrt{5} =10\sqrt{5} \\ \\ b)\\ 8\sqrt{3} -5\sqrt{3} =(8-5)\sqrt{3} =3\sqrt{3} \\ \\ c)\\ 3\sqrt{5} +\sqrt{5} -6\sqrt{5} =(3+1-6)\sqrt{5} =-2\sqrt{5} \\ \\ d)\\ 4\sqrt{2} +6\sqrt{3} -2\sqrt{2} +9\sqrt{3} =\\ \\ 4\sqrt{2} -2\sqrt{2} +6\sqrt{3} +9\sqrt{3} =\\ \\ (4-2)\sqrt{2} +(6+9)\sqrt{3} =\\ \\ 2\sqrt{2} +15\sqrt{3}$

$e)\\ {2\over5}\sqrt{3} -2\sqrt{3} +3\sqrt{3} +{3\over5}\sqrt{3} =\\ \\ ({2\over5}-2+3+{3\over5})\sqrt{3} =\\ \\ ({2\over5}+1+{3\over5})\sqrt{3} =\\ \\ ({2+5+3\over5})\sqrt{3} =\\ \\ {10\over5}\sqrt{3} =2\sqrt{3}$