Question

considerando a = √2 e b = √3 , qual das expressões corresponde a √162-√588+√450?

a) 17a - 14b

b) 24a - 17b

c) 24a -14b

d) 14a -24b

Answer 1

$\sqrt{162} - \sqrt{588} + \sqrt{450} = \\ \\ = \sqrt{3^4.2} - \sqrt{2^2.3.7^2} + \sqrt{2.3^2.5^2} = \\ \\ =3^2 \sqrt{2} -2.7 \sqrt{3} +3.5 \sqrt{2}= \\ \\ =9 \sqrt{2} -14 \sqrt{3} +15 \sqrt{2} = \\ \\ =9a-14b+15a =\\ \\ 24a-14b$

letra c)