a]
[tex]\sqrt{4\cdot x}=6\\\\4\cdot x=6^2\\\\4\cdot x=36 \ \ |:4\\\\x=9[/tex]
b]
[tex]\sqrt{x+30}=6\\\\x+30=6^2\\\\x+30=36\\\\x=36-30\\\\x=6[/tex]
c]
[tex]\sqrt{100-x}=9\\\\100-x=9^2\\\\100-x=81\\\\x=100-81\\\\x=19[/tex]
d]
[tex]\sqrt{x:3}=2\\\\x:3=2^2\\\\x:3=4 \ \ |\cdot3\\\\x=12[/tex]
e]
[tex]\sqrt[3]{4+x}=3\\\\4+x=3^3\\\\4+x=27\\\\x=27-4\\\\x=23[/tex]
f]
[tex]\sqrt[3]{x\cdot5}=10\\\\x\cdot5=10^3\\\\x\cdot5=1000 \ \ |:5\\\\x=200[/tex]
g]
[tex]\sqrt[3]{x-15}=1\\\\x-15=1^3\\\\x-15=1\\\\x=1+15\\\\x=16[/tex]
h]
[tex]\sqrt[3]{x:2}=3\\\\x:2=3^3\\\\x:2=27 \ \ |\cdot2\\\\x=54[/tex]