Which real world problem is most likely to involve irrational numbers
Real world problems involving measurements or geometrical calculations are most likely to involve irrational numbers. For example, finding the length of the diagonal of a square whose side length is 1 meter, or calculating the circumference of a circle with a radius of 3 meters would involve the use of pi, an irrational number. Another example would be determining the height of a skyscraper using trigonometry, which could involve the use of trigonometric ratios that involve irrational numbers.
One real-world problem that often involves irrational numbers is determining exact measurements in geometry and engineering. When dealing with right triangles, circles, or other geometrical shapes, it is common to encounter lengths and angles that involve irrational numbers.
For example, when calculating the length of the diagonal of a square with side length 1, the Pythagorean theorem is used, which results in the square root of 2, an irrational number.
Another example is in construction or engineering projects involving circles. When trying to precisely measure the circumference or diameter of a circle, the irrational number pi (approximately 3.14159...) is involved. Pi represents the ratio of a circle's circumference to its diameter and is an irrational number that cannot be expressed as a simple fraction.
In both cases, irrational numbers are encountered because they are necessary for accurate and precise calculations in real-world scenarios where exact measurements are required.