Say you have a whole number, let's call it "x", and a radical number, let's make it y√z. If you wanna multiply those two, would the answer simply be: "x times y√z" ?
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exactly, and take it a step further:
x times y√z
xy √z
x times y√z
xy √z
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(x)*(y√z)=(x*y)*√z
x*√z=√((x^2)*z)
x*√z=√((x^2)*z)