Question

introduza o fator externo no radicando número 60 ​

Answer 1

Resposta:

a)$\sqrt{\frac{3}{25} }$

b)$\sqrt[4]{\frac{a^{4} }{2} }$

c)$\sqrt{\frac{(a+b)}{(a-b)} }$

d)$\sqrt{\frac{4a}{25c} }$

Explicação passo-a-passo:

a)$0.2*\sqrt{3} = \sqrt{\frac{4}{100} } * \sqrt{3} = \sqrt{\frac{12}{100} } = \sqrt{\frac{3}{25} }$

b)$\frac{a}{2} \sqrt[4]{2^{3} } = \sqrt[4]{\frac{a^{4} }{2^{4} } }\sqrt[4]{2^{3} } = \sqrt[4]{\frac{a^{4} *2^{3} }{2^{4} } } = \sqrt[4]{\frac{a^{4} }{2} }$

c)$(a+b)\sqrt{\frac{1}{a^{2}-b^{2} } } = \sqrt{(a+b)^{2} } \sqrt{\frac{1}{(a-b)(a+b)} } = \sqrt{\frac{(a+b)^{2} }{(a-b)(a+b)} } = \sqrt{\frac{(a+b)}{(a-b)} }$

d)$\frac{2}{5} \sqrt{\frac{a}{c} } = \sqrt{\frac{4}{25} } \sqrt{\frac{a}{c} } = \sqrt{\frac{4a}{25c} }$