justJust remember the common radicals.
烋 is with 灬 (四点水) http://www.zdic.net/zd/jtbs/ZdicE7Zdic81ZdicAC.htm:
想 is with 心 (心字底) http://www.zdic.net/zd/jtbs/ZdicE5ZdicBFZdic83.htm
theyThey are both veryvery commmon radicals .
lookup You can look up radicals at the http://www.zdic.net/zd/bs/ site.
forConcerning your latter question., I think you could look for the less stroke one. butone; but the situation which both parts are radical is rare.
e.g. you can find 贾 with '贝' radical but not in '西' radical in http://www.zdic.net/zd/bs/the site I linked above.