[tex] \sqrt{32 \sqrt{2} } = 4 \sqrt{2 \sqrt{2} } = 4 \sqrt{ \sqrt{2 {}^{3} } } = 4 \sqrt[4]{2 {}^{3} } = 4 \sqrt[4]{8 } [/tex]
[tex]\it \sqrt{32\sqrt2}=\sqrt{16\cdot2\sqrt2}=4\sqrt{2\sqrt2}[/tex]
