Question

racionalize as expressões a) 15/2√5 b)2√5/√5-1

Answer 1

Veja o arquivo anexo.

Espero ter ajudado.

cd403236673d1a71c338da9e46ff1f4e.pdf

Answer 2

Bom dia Glauslei!

Solução!

$A\\\\\\ \dfrac{15}{2 \sqrt{5} } \\\\\\ \dfrac{15}{2 \sqrt{5} }\times \dfrac{ 2\sqrt{5} }{2 \sqrt{5} } \\\\\\\\ \dfrac{30\sqrt{15} }{(2 \sqrt{5})^{2}}\\\\\\ \dfrac{30\sqrt{15} }{(4. 5)}\\\\\\ \dfrac{30\sqrt{15} }{20}\\\\\\ \boxed{\dfrac{3\sqrt{5} }{2}}$



$B\\\\\\\ \dfrac{2 \sqrt{5} }{ \sqrt{5}-1 } \\\\\\\\ \dfrac{2 \sqrt{5} }{ \sqrt{5}-1 } \times \dfrac{ \sqrt{5}+1 }{ \sqrt{5}+1 } \\\\\\\\\\ \dfrac{2 \sqrt{5} . \sqrt{5} +2 \sqrt{5} }{ \sqrt{5}. \sqrt{5}+ \sqrt{5}- \sqrt{5} -1 }\\\\\\\\\ \dfrac{2 \sqrt{25}+2 \sqrt{5} }{ \sqrt{25} +0-1}\\\\\\\\\ \dfrac{2.5+2 \sqrt{5} }{5-1} \\\\\\\\ \dfrac{10+2 \sqrt{5} }{4} \\\\\\\\ 2 \dfrac{(5+ \sqrt{5}) }{ 4}\\\\\\\\\ \boxed{\dfrac{(5+ \sqrt{5}) }{ 2}}$




Bom dia!
Bons estudos!