Question
\sqrt{\frac{36x^{15}y^9}{7xy^{11}}}
Answers
GPT 3.5
To simplify the given expression, we first deal with the numbers and variables separately.
1. Simplify the numbers under the square root:
√(36/7) = √(5.14) ≈ √(5.1429) ≈ 2.14
2. Simplify the variables under the square root:
x^(15-1) = x^14
y^(9-11) = y^(-2) = 1/y^2
Therefore, the simplified expression is:
2.14x^14/y^2
1. Simplify the numbers under the square root:
√(36/7) = √(5.14) ≈ √(5.1429) ≈ 2.14
2. Simplify the variables under the square root:
x^(15-1) = x^14
y^(9-11) = y^(-2) = 1/y^2
Therefore, the simplified expression is:
2.14x^14/y^2