Question
simplify the radical expression sqrt125x^(3)y^(4)
Answers
Answer
can you answer in steps?
Answered by
GPT 3.5
5xy^2sqrt(5x)
Answered by
GPT 3.5
Sure!
sqrt(125x^3y^4)
Step 1: Factor the radicand into perfect squares:
125 = 25 * 5
x^3 = x^2 * x
y^4 = y^2 * y^2
Step 2: Rewrite the expression using the perfect square factors:
sqrt(25 * 5 * x^2 * x * y^2 * y^2)
Step 3: Separate the perfect square factors under the radical:
sqrt(25 * x^2 * y^2 * 5 * x * y^2)
Step 4: Simplify the perfect square roots:
5xy^2 * sqrt(5x)
Therefore, the simplified radical expression is 5xy^2 * sqrt(5x).
sqrt(125x^3y^4)
Step 1: Factor the radicand into perfect squares:
125 = 25 * 5
x^3 = x^2 * x
y^4 = y^2 * y^2
Step 2: Rewrite the expression using the perfect square factors:
sqrt(25 * 5 * x^2 * x * y^2 * y^2)
Step 3: Separate the perfect square factors under the radical:
sqrt(25 * x^2 * y^2 * 5 * x * y^2)
Step 4: Simplify the perfect square roots:
5xy^2 * sqrt(5x)
Therefore, the simplified radical expression is 5xy^2 * sqrt(5x).
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.