Answer:
2x²y²√(3x)
Step-by-step explanation:
sqrt12x^5y^4 is clearer if presented as √(12x^5y^4).
First, find the largest perfect square in 12: it is 4, so 12 = 4·3.
Next, find the largest perfect square in x^5: it is x^4, so x^5 = x^4·x.
Last, find ... in y^4; it is just y^4.
So, √(12x^5y^4) becomes √(4·3·x^4·x·y^4), which simplifies to:
2√3·x²·√x·y², or
2x²y²√(3x)
