(√ 12*√ 3)^2=
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There is a radical rule you should apply here that will make this easy. Whenever you have product to a power you can distribute that power to each factor.
example:
(xy)^2 = x^2y^2
with this in mind the squaring a square root eliminates the radical.
(√ 12*√ 3)^2
√ 12^2(√ 3^2)
12(3)
36
example:
(xy)^2 = x^2y^2
with this in mind the squaring a square root eliminates the radical.
(√ 12*√ 3)^2
√ 12^2(√ 3^2)
12(3)
36
-
(√12 * √3)^2
(√36)^2
6^2
36
(√36)^2
6^2
36