In addition/subtraction of radical expressions, combine the radicals with the same index and radicand. Factor the numerical coefficient of the radicand so that one of the factors can be simplified to its roots.
[tex]1.) \sqrt[5]{2} + 2 \sqrt[]{2} [/tex]
[tex]2.) 4 \sqrt{2} [/tex]
[tex]3.) (2a ^{2} b+3a ^{3} b ^{2} -1) \sqrt[3]{3b ^{2} } [/tex]
[tex]4.) (5x-5y) \sqrt{2} [/tex]
(Please see attached solution)