The Sub-Duplicate Ratio of 25 : 36

The sub-duplicate ratio is a mathematical concept used to compare two quantities in terms of their sub-duplicates. Essentially, it is a ratio of the square root of one quantity to the square root of the other quantity. In this question, we are asked to find the sub-duplicate ratio of 25 and 36.

Calculating the Sub-Duplicate Ratio

To calculate the sub-duplicate ratio of 25 and 36, we need to find the square root of each number.

- The square root of 25 is 5.
- The square root of 36 is 6.

Next, we need to divide the larger square root (in this case, 6) by the smaller square root (in this case, 5).

- 6/5 = 1.2

Therefore, the sub-duplicate ratio of 25 : 36 is 1.2.

Explanation

The sub-duplicate ratio is a way of comparing two quantities that takes into account their square roots. This is useful in situations where the quantities being compared are themselves squares or have some relationship to squares. In this case, we are given two numbers (25 and 36) and asked to find their sub-duplicate ratio.

To do this, we first find the square root of each number. These square roots are 5 and 6, respectively. We then divide the larger square root (6) by the smaller square root (5) to get a ratio of 1.2. This means that the square root of 36 is 1.2 times greater than the square root of 25.

Overall, the sub-duplicate ratio is a useful tool for comparing quantities in terms of their square roots. It allows us to take into account the relationship between squares and square roots and provides a way of comparing quantities that may not be immediately obvious.