Question

simplifique os radicais

a) √a² . m³ b)√ a⁴ . x⁵ c)√a² . m⁷
d) ³√a⁶ . m⁷​

Answer 1

Resposta:

$a) \sqrt{ {a}^{2} \times {m}^{3} } = \sqrt{ {a}^{2} \times {m}^{2} \times {m}^{1} } \\ = a.m \sqrt{m}$

$b) \sqrt{ {a}^{4} \times {x}^{5} } = \sqrt{ {a}^{2}. {a}^{2} \times {x}^{2}. {x}^{2} \times {x}^{1} } \\ = a \times a \times x \times x \sqrt{x} \\ = {a}^{2} . {x}^{2} \sqrt{x}$

$c) \sqrt{ {a}^{2} \times {m}^{7} } = \sqrt{ {a}^{2} \times {m}^{2}. {m}^{2} . {m}^{2} . {m}^{1} } \\ = a \times m \times m \times m \sqrt{m} \\ = a \times {m}^{3} \sqrt{m}$

$d) \sqrt[3]{ {a}^{6} \times {m}^{7} } = \sqrt[3]{ {a}^{3} . {a}^{3} \times {m}^{3}. {m}^{3} \times {m}^{1} } \\ = a \times a \times m \times m \sqrt{m} \\ = {a}^{2} . {m}^{2} \sqrt{m}$