simplify square root of 125x^3y^4 step by step
To simplify the square root of 125x^3y^4 step by step, we can first rewrite 125 as 25 * 5:
√(25 * 5 * x^3 * y^4)
Next, we can break down the square root of each factor:
√25 * √5 * √x^3 * √y^4
Since √25 = 5, √x^3 = x^(3/2), and √y^4 = y^(4/2):
5 * √5 * x^(3/2) * y^2
Therefore, the simplified form of √(125x^3y^4) is 5xy^2√5.