Question

efetue as adições e as subtrações

a) 9√11+4√11 =
b) 3√5+4√5-√5 =
c) √24+√54 =
d) √343-√28 =
e) √50+√27 =

Answer 1

a)
$9 \sqrt{11} +4 \sqrt{11} =13 \sqrt{11}$

b)
$3 \sqrt{5} +4 \sqrt{5} - \sqrt{5} = \\ \\ 7 \sqrt{5} - \sqrt{5} =6 \sqrt{5}$

c)
$\sqrt{24} + \sqrt{54} = \\ \\ \sqrt{2^2.2.3} + \sqrt{2.3^2.3} = \\ \\ 2 \sqrt{6} +3 \sqrt{6} =5 \sqrt{6}$

d)
$\sqrt{343} - \sqrt{28} = \\ \\ \sqrt{7^2.7} - \sqrt{2^2.7} = \\ \\ 7 \sqrt{7} -2 \sqrt{7} = \\ \\ 5 \sqrt{7}$

e)
$\sqrt{50} + \sqrt{27} = \\ \\ \sqrt{2.5^2} + \sqrt{3^2.3} = \\ \\ 5 \sqrt{2} +3 \sqrt{3}$