Question

Qual tem o maior valor:
3. Raiz de 5
5. Raiz de 3

Answer 1

$3 \sqrt{5}= \sqrt{3^2}\cdot \sqrt{5} = \sqrt{3^2 \cdot 5} = \sqrt{45}$

$5 \sqrt{3} = \sqrt{5^2} \cdot \sqrt{3} = \sqrt{5^2\cdot 3} = \sqrt{75}$

Portanto $5\sqrt{3} \ \textgreater \ 3 \sqrt{5}$