Question

Questão 6
Sendo a = 3✓2 +4✓5 e b=-2✓2+✓5+✓5 o valor de a-b e igual a​

Answer 1

Resposta:

$a=3\sqrt{2} +4\sqrt{5} \\ \\ b=-2\sqrt{2} +\sqrt{5} +\sqrt{5} \\ \\ a-b=\\ \\ 3\sqrt{2} +4\sqrt{5} -(-2\sqrt{2} +\sqrt{5} +\sqrt{5})=\\  \\ 3\sqrt{2} +4\sqrt{5} +2\sqrt{2} -\sqrt{5} -\sqrt{5} =\\ \\ 3\sqrt{2} +2\sqrt{2}  +4\sqrt{5} -2\sqrt{5} =\\ \\ a-b=5\sqrt{2} +2\sqrt{5}$