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Answer:
4a³b²√(3b)
Step-by-step explanation:
Even powers of any of the factors can be brought out from under the square root radical.
[tex]\sqrt{48a^6b^5}=\sqrt{(4^2a^6b^4)(3b)}=\sqrt{(4a^3b^2)^2(3b)}=\boxed{4a^3b^2\sqrt{3b}}[/tex]