Question

O valor da expressão abaixo é:√50+√8-√98

Answer 1

$\boxed{\begin{array}{l}\begin{array} {c|l} \sf50&\sf2\\\sf25&\sf5\\\sf5&\sf5\\\sf1\end{array}\\\sf 50=2\cdot5^2\\\begin{array}{c|l}\sf8&\sf2\\\sf4&\sf2\\\sf2&\sf2\\\sf1\end{array}\\\sf 8=2^2\cdot2 \\\begin{array}{c|l}\sf98&\sf2\\\sf49&\sf7\\\sf7&\sf7\\\sf1\end{array}\\\sf 98=2\cdot7^2\\\sf\sqrt{50}+\sqrt{8}-\sqrt{98}\\\sf=\sqrt{2\cdot5^2}+\sqrt{2^2\cdot2}-\sqrt{2\cdot7^2}\\\sf=5\sqrt{2}+2\sqrt{2}-7\sqrt{2}=0\end{array}}$