[tex]\sqrt{\frac{81}{121}}[/tex]
Answer (1)
121 81
Find the square root of the numerator: 81 = 9 .
Find the square root of the denominator: 121 = 11 .
Simplify the fraction: 121 81 = 11 9 .
The final answer is 11 9 .
Explanation
Understanding the Problem We are asked to find the square root of the fraction 121 81 .
Plan of Action To solve this, we need to find the square root of both the numerator and the denominator separately.
Square Root of Numerator The square root of 81 is 9, because 9 × 9 = 81 .
Square Root of Denominator The square root of 121 is 11, because 11 × 11 = 121 .
Final Calculation Therefore, 121 81 = 121 81 = 11 9 .
Examples
Imagine you are tiling a square area with smaller square tiles. If the total area to be tiled is represented by the fraction 121 81 square meters, finding the square root of this fraction, which is 11 9 meters, tells you the length of each side of the larger square area. This concept is useful in various scaling and measurement problems where you need to determine the dimensions based on the area or vice versa.
