Q. Find each square root. Where necessary, round to the nearest 100th:404
Simplify Fraction: First, simplify the fraction404 by dividing both the numerator and the denominator by their greatest common divisor, which is 4. 4÷4=140÷4=10So, 404 simplifies to 101.
Find Square Root: Now, find the square root of the simplified fraction, which is 101.
Calculate Approximation: The square root of 1 is 1, and the square root of 10 is approximately 3.1623. So, 101 is approximately 3.16231.
Divide Numbers: To divide 1 by 3.1623, we get approximately 0.31623.
Round to Nearest Hundredth: Finally, round the result to the nearest hundredth. 0.31623 rounded to the nearest hundredth is 0.32.