Questions: √((-1/3)^2+(-1/4)^2)

Solution Steps

To solve the given expression, we need to follow these steps:

1. Square each of the fractions inside the square root.
2. Sum the squared values.
3. Take the square root of the sum.

First, we square each of the fractions: \[ \left(-\frac{1}{3}\right)^2 = 0.1111 \] \[ \left(-\frac{1}{4}\right)^2 = 0.0625 \]

Next, we sum the squared values: \[ 0.1111 + 0.0625 = 0.1736 \]

Finally, we take the square root of the sum: \[ \sqrt{0.1736} = 0.4167 \]

Final Answer