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How do simplify 2√12xy²

User JBJ
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Final answer:

To simplify the expression 2√(12xy²), separate the square root of a product into the product of square roots and simplify, leaving you with 4y√3x.

Step-by-step explanation:

To simplify the expression 2√(12xy²), we can simplify the square root of 12 to its simplest form. The prime factorization of 12 is 2² × 3, so we can rewrite the expression as 2√(2² × 3 × xy²). Using the property of square roots, we can separate the square root of a product into the product of square roots. This gives us 2(2√3)(√x)(√y²). The square root of y² is y, so the final simplified expression is 4y√3x.

User Anpsmn
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