Correct. Factoring 700 and 525 into square numbers, you find: $\displaystyle\sqrt{{700}}\cdot\sqrt{{525}}=\sqrt{{{7}\cdot{{10}}^{{2}}}}\cdot\sqrt{{{3}\cdot{7}\cdot{{5}}^{{2}}}}={10}\sqrt{{7}}\cdot{5}\sqrt{{{7}\cdot{3}}}=\usepackage{cmbright}\Huge\$

$\displaystyle{50}\sqrt{{{3}\cdot{{7}}^{{2}}}}={50}\cdot{7}\cdot\sqrt{{3}}={350}\sqrt{{3}}\usepackage{cmbright}\Huge\$ .