Question

Calcule,fatorando o radicando:
a) √256
b) √729
c) ³√343
d) 6√1024 < 6 elevado
e) √1296
f) √1089

Answer 1

a) $\sqrt{256} = \sqrt{2^2 . 2^2 . 2^2 . 2^2} = 2.2.2.2 = 16$

b) $\sqrt{729} = \sqrt{3^2 . 3^2 . 3^2} = 3 . 3 . 3 = 27$

c) $\sqrt[3]{343} = \sqrt[3]{7^3} = 7$

d) $\sqrt[6]{1024} = \sqrt[6]{2^6 . 2^4} = 2 \sqrt[6]{16}$

e) $\sqrt{1296} = \sqrt{2^2 . 2^2 . 3^2 .3^2} = 2.2.3.3 = 36$

f) $\sqrt{1089} = \sqrt{3^2 . 11^2} = 3.11 = 33$