Question

4 sobre 5 menos raiz de 3

Answer 1

Explicação passo-a-passo:

${4\over5-\sqrt{3}}=\\ \\ {4(5+\sqrt{3} )\over(5-\sqrt{3} )(5+\sqrt{3} )}=\\ \\ {4(5+\sqrt{3} )\over5^2-(\sqrt{3})^2}=\\ \\ { 4(5+\sqrt{3} )\over25-3}=\\ \\ {4(5+\sqrt{3} \over22}={2(5+\sqrt{3} )\over11}={10+2\sqrt{3} \over11}$