Hey there
[tex] 4\sqrt{32} + 6 \sqrt{50} [/tex]
Let us do the radical part separately,
[tex] \sqrt{32} = \sqrt{16} [/tex] x [tex] \sqrt{2} [/tex]
= [tex]4 \sqrt{2} [/tex]
4 ( [tex]4 \sqrt{2} [/tex] ) = [tex]16 \sqrt{2} [/tex]
[tex] \sqrt{50} = \sqrt{25} [/tex] x [tex] \sqrt{2} [/tex]
= [tex] 5\sqrt{2} [/tex]
6 ([tex] 5\sqrt{2} [/tex] ) = [tex]30 \sqrt{2} [/tex]
Add them together now:
[tex]16 \sqrt{2}+ 30\sqrt{2} [/tex]
[tex]46 \sqrt{2} [/tex]