Question

sabendo que M=raiz de 72 - raiz de 243 e N= raiz de 200 - raiz de 162 ,calcile o valor de M-N

Answer 1

$m = \sqrt{72} - \sqrt{243} = \\ \\ m = 6 \sqrt{2} - 9 \sqrt{3} \\ \\ \\ \\ n = \sqrt{200} - \sqrt{162} = \\ \\ n = 10 \sqrt{2} - 9 \sqrt{2} \\ \\ n = \sqrt{2} \\ \\ \\ m - n = > 6 \sqrt{2} - 9 \sqrt{3} - \sqrt{2} \\ \\ m - n = 5 \sqrt{2} - 9 \sqrt{3}$