Answer:
[tex]a) 9x +18y \geq 0 \\9x \geq -18y \\x\geq -2y \\\sqrt {9(x+2y)}\\ 3\sqrt {x+2y} \\[/tex]
[tex]b) 3 \sqrt[3]{3*5^3a^9a} b^9 \\15a^3b^9 \sqrt[3]{3a}[/tex]
[tex]c)a\geq 0 \\1/2 \sqrt{2^2*3^2*3a^4a}b^9 \\1/2*2*3a^2\sqrt{3a}b^9 \\3a^2b^9 \sqrt{3a}[/tex]
[tex]d)mp\geq 0 \\3/5 \sqrt{5^2*5mn^6p^6p} \\3|n^3|p^3 \sqrt{5mp}[/tex]
[tex]e) n>0 \\6m 1/\sqrt{2^2*2n^4n} \\3|m|/n^2 1/\sqrt{2n}[/tex]
[tex]f) b\neq 0 \\a\neq 0 \\15/2 \sqrt[3]{x^2/2^3*2a^2b^3b} \\15/(4b) \sqrt[3]{x^2/2a^2b}[/tex]
