Question

Simplificando a fraçao √32 + 6/√8 + 3 obtemos? pessoal façam uma conta explicada para eu entender pf e vlw

Answer 1

$\sqrt{32}+ \frac{6}{ \sqrt{8} }+3=\\\\ \sqrt{2^5}+ \frac{6 \sqrt{8} }{ \sqrt{8} }+3=\\\\2^2 \sqrt{2}+ \frac{6 \sqrt{2^3} }{ \sqrt{2^3} }+3=\\\\4 \sqrt{2}+ \frac{6*2 \sqrt{2} }{2 \sqrt{2} }+3= \frac{8 \sqrt{4}+12 \sqrt{2}+6 \sqrt{2}}{2 \sqrt{2} }\\\\\ \frac{16+18 \sqrt{2} }{2 \sqrt{2} }= \frac{2(8+9 \sqrt{2}) }{2 \sqrt{2} }= \frac{8+9 \sqrt{2} }{ \sqrt{ 2 } }= \frac{(8+9 \sqrt{2})* \sqrt{2} }{ \sqrt{4} }\\\\\frac{(8+9 \sqrt{2})* \sqrt{2} }{ 2} }= \frac{8 \sqrt{2}+18 }{2}=9+4 \sqrt{2}$