Question

1) Calcule as raízes fazendo a decomposição dos radicando e utilizando as propriedades radiciação
2) Simplifique cada radical pela fatoração do radicando.. ME AJUDEM PFF!!

Answer 1

1)

a)

$\boxed{\boxed{\mathsf{\sqrt{196}=\sqrt{{2}^{2}.{7}^{2}} = 2.7 = 14}}}$

b)

$\boxed{\boxed{\mathsf{\sqrt[3]{125}=\sqrt[3]{{5}^{3}} = 5}}}$

c)

$\boxed{\boxed{\mathsf{\sqrt{576}=\sqrt{{2}^{6}.{3}^{2}} =8.3=24}}}$

d)

$\boxed{\boxed{\mathsf{\sqrt[4]{625}=\sqrt[4[{{5}^{4}}=5}}}$

2)

a)

$\boxed{\boxed{\mathsf{\sqrt{200}=\sqrt{{2}^{2}.2.{5}^{2}}=2.5\sqrt{2}=10\sqrt{2}}}}$

b)

$\boxed{\boxed{\mathsf{\sqrt{700}=\sqrt{{2}^{2}.{5}^{2}.7} = 2.5.\sqrt{7} = 10\sqrt{7}}}}$

c)

$\boxed{\boxed{\mathsf{\sqrt{180}=\sqrt{{2}^{2}.{3}^{2}. 5} = 2.3.\sqrt{5}=6\sqrt{5}}}}$

d)

$\boxed{\boxed{\mathsf{\sqrt{27}=\sqrt{{3}^{2}.3} = 3\sqrt{3}}}}$

e)

$\boxed{\boxed{\mathsf{\sqrt{90}=\sqrt{2.{3}^{2}.5}=3\sqrt{10}}}}$