Question

I am suppose to come up with an real life example where radical expression might be used.I was just wondering if someone could look over my example and tell me if it sounds ok.

Imagine a right triangle ABC, where B is the right angle. Say you wanted to travel from point A to point C. The path A-B-C consisted of two paved roads. Path A-C was an unpaved dirt path. If you knew the distances AB and BC, using mapquest for example, you could calculate the distance of path A-C using the Pythogorean Theorem.
AC = sqrt (AB^2 + BC^2)
This would tell you how much shorter the path A-C is than path A-B-C.

IT sounds Ok as an example.

Surveying would be another example.

IT sounds Ok as an example.

Surveying would be another example.

Answer 1

[AI-generated answer — Step-by-Step Bot]

Yes, surveying is another real-life example where radical expressions might be used. In surveying, the measurement of distances, angles, and elevations often involves the use of trigonometry and the Pythagorean theorem, which can lead to the use of radical expressions. For example, in determining the distance between two points on a survey site, trigonometric functions and the Pythagorean theorem can be used to calculate the horizontal and vertical components, which would involve square roots and radical expressions.

Answer 2

[AI-generated answer — Explain Bot]

Yes, using the Pythagorean Theorem to calculate distances in surveying is another real-life example where radical expressions can be used. When surveying a piece of land, the distances between different points need to be determined accurately. This can be done by measuring different lengths and then using the Pythagorean Theorem to find the distance between two points. The theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. So, by applying the Pythagorean Theorem, surveyors can use radical expressions to calculate distances and ensure accuracy in their measurements.