Question

operação com radicais para efetuar a adição algébrica com radicais simplificamos os radicais e reduza os termos que tem radicais iguais somando algebricamente os fatores externos calcule:​

Answer 1

1)

a)

$\boxed{\boxed{\mathsf{\sqrt{49}+\sqrt{16}=7+4=11}}}$

b)

$\boxed{\boxed{\mathsf{\sqrt[3]{8}-\sqrt[4]{16}=2-2=0}}}$

c)

$\boxed{\boxed{\mathsf{-5\sqrt{9}+2\sqrt{169}=-5.3+2.13=-15+26=11}}}$

d)

$\boxed{\boxed{\mathsf{10\sqrt[3]{2}+4\sqrt[3]{2}-\sqrt[3]{2}=13\sqrt[3]{2}}}}$

e)

$\boxed{\boxed{\mathsf{\sqrt{18}+2\sqrt{50}=3\sqrt{2}+10\sqrt{2}=13\sqrt{2}}}}$

f)

$\boxed{\boxed{\mathsf{\sqrt{25}+\sqrt[3]{27}+\sqrt[4]{81}=5+3+3=11}}}$

g)

$\boxed{\boxed{\mathsf{\sqrt{64}+\sqrt[3]{-64}+\sqrt[6]{64}=8-4+2=6}}}$

2)

a)

$\boxed{\boxed{\mathsf{3\sqrt{5}+\sqrt{5}-6\sqrt{5}=-2\sqrt{5}}}}$

b)

$\boxed{\boxed{\mathsf{5\sqrt[5]{3}+2\sqrt[5]{3}-2\sqrt[5]{3}+\sqrt[5]{3}=6\sqrt[5]{3}}}}$

c)

$\boxed{\boxed{\mathsf{-4+\sqrt[3]{5}+2\sqrt[3]{5}-4=3\sqrt[3]{5}-8}}}$

d)

$\boxed{\boxed{\mathsf{2\sqrt[5]{3}-2\sqrt{3}+3\sqrt{3}+3\sqrt[5]{3}=5\sqrt[5]{3}+\sqrt{3}}}}$

e)

$\boxed{\boxed{\mathsf{\sqrt{50}+\sqrt{18}-\sqrt{8}=5\sqrt{2}+3\sqrt{2}-2\sqrt{2}=6\sqrt{2}}}}$

f)

$\boxed{\boxed{\mathsf{2\sqrt{27}-5\sqrt{12}=6\sqrt{3}-10\sqrt{3}=-4\sqrt{3}}}}$

g)

$\boxed{\boxed{\mathsf{4\sqrt{63}-\sqrt{7}=12\sqrt{7}-\sqrt{7}=11\sqrt{7}}}}$

h)

$\boxed{\boxed{\mathsf{\sqrt{12}+\sqrt{75}+\sqrt{108}=2\sqrt{3}+5\sqrt{3}+6\sqrt{3}=13\sqrt{3}}}}$