✏️ANSWER
[tex]1) \frac{4}{3} [/tex]
[tex]2)3 \sqrt[3]{3} [/tex]
[tex]3) {4xy}^{2} \sqrt{2xy} [/tex]
[tex]4) {3y8}^{2} \sqrt{ {2x}^{2} {y}^{2} } [/tex]
[tex] 5)\sqrt[6]{2} [/tex]
✏️SOLUTION
[tex]1) \sqrt{48} = \sqrt{3 \times 16} - \sqrt{ {3x4}^{2} } = \frac{4}{?3} [/tex]
[tex]2) \sqrt[3]{81} = \sqrt[3]{ {3x3}^{3} } = 3 \sqrt[3]{3} [/tex]
[tex]3) \sqrt{32 {x}^{3} {y}^{5} } = 2. {4}^{2} .x. {x}^{2}. y. {y}^{4} = 4x {y}^{2} \sqrt{2xy} [/tex]
[tex]4) \sqrt[4]{162 {x}^{2} {y}^{6} {8}^{4} } = \sqrt[4]{ {3}^{4}.2 {x}^{2} . {y}^{2}. {y}^{4}. {8}^{4}} = 3y 8 \sqrt[4]{2 {x}^{2} {y}^{2} } [/tex]
[tex]5) \sqrt{72} = \sqrt{ {6}^{2} \times 2} = \sqrt[6]{2} [/tex]
