We are asked to find the value of $Q$ where $Q = \frac{1}{100}(4382)^{\frac{1}{2}}$.

ArithmeticSquare RootExponentsDecimal OperationsApproximation
2025/3/18

1. Problem Description

We are asked to find the value of QQ where Q=1100(4382)12Q = \frac{1}{100}(4382)^{\frac{1}{2}}.

2. Solution Steps

First, we need to evaluate (4382)12(4382)^{\frac{1}{2}}, which is the same as 4382\sqrt{4382}.
Using a calculator, we find that 438266.196676\sqrt{4382} \approx 66.196676.
Then we substitute this value into the equation: Q=1100(66.196676)Q = \frac{1}{100} (66.196676).
Now we divide 66.19667666.196676 by 100100, which means shifting the decimal point two places to the left.
So, Q=0.66196676Q = 0.66196676.
Rounding to four decimal places, we get Q0.6620Q \approx 0.6620.

3. Final Answer

Q0.6620Q \approx 0.6620