Question

Simplifique os radicais e efetue as operações
a-) √2+√32
b-)√27+√3
c-)3√5+√20
d-)2√2+√8
e-)√28+10√7

Answer 1

a) $\sqrt{2} + \sqrt{32} = \sqrt{2} + \sqrt{2^2*2^2*2} = \sqrt{2} + 2*2\sqrt{2} = \sqrt{2} +4 \sqrt{2} = 5 \sqrt{2}$

b)$\sqrt{27} + \sqrt{3} = \sqrt{3^2*3} + \sqrt{3} = 3\sqrt{3} + \sqrt{3} = 4 \sqrt{3}$

c) $3\sqrt{5} + \sqrt{20} = 3\sqrt{5} + \sqrt{2^2*5} = 3\sqrt{5} + 2\sqrt{5} = 5 \sqrt{5}$

d) $2\sqrt{2} + \sqrt{8} = 2\sqrt{2} + \sqrt{2^2*2} = 2\sqrt{2} + 2\sqrt{2} = 4 \sqrt{2}$

e) $\sqrt{28} + 10\sqrt{7} = \sqrt{2^2*7} + 10\sqrt{7} = 2\sqrt{7} + 10\sqrt{7} = 12 \sqrt{7}$