Question

5 sobre raiz quadrada de 3 vezes 5 sobre raiz quadrada de 27.

Answer 1

$\dfrac{5}{\sqrt3}\cdot\dfrac{5}{\sqrt{27}}=\dfrac{5}{\sqrt3}\cdot\dfrac{5}{\sqrt{3^3}}=\dfrac{5\cdot5}{\sqrt3\cdot\sqrt{3^3}}=\dfrac{25}{\sqrt{3^4}}=\dfrac{25}{3^{\frac42}}=\dfrac{25}{3^2}=\dfrac{25}{9}$