Simplify √2√12x³.
STEP 1 Rewrite the second radical to show the perfect
square factors.
√2-√12x³
= √2.
4
=√√2-√4√3.
= √2.
STEP 2 Simplify the perfect squares.
√2-√4√3-√√x². √x

√3
√x
STEP 3 Multiply the radicals.
√2.2√3 x √x
.
1.
= 2x.
= 2x.
=