Question

Rút gọn biểu thức: \(A = \frac{{{{\left( {{a^{\sqrt 2  - 1}}} \right)}^{1 + \sqrt 2 }}}}{{{a^{\sqrt 5  - 1}}.{a^{3 - \sqrt 5 }}}}\,\,\,\left( {a > 0} \right).\)

Answer 1

\(=\dfrac{a^{\left(\sqrt{2}-1\right)\left(\sqrt{2}+1\right)}}{a^{\left(\sqrt{5}-1\right)+\left(3-\sqrt{5}\right)}}=\dfrac{a}{a^{\sqrt{5}-1+3-\sqrt{5}}}=\dfrac{a}{a^2}=\dfrac{1}{a}\)

 

Answer 2