Okay i am still trying to understand how to come up with a radical expressions and their applications, and apply to your daily life.

I need more examples if any can help me out ....

Is there a way of modeling it if i wanted to use a house for instance i just don't know how to word it and come up with the right expression.

70 divided by 7 =

haley i know how to solve radical expressions but i have to come up with a real life situation dealing with radical expressions. Basically a problem and then the equation with it.

5/6/1973

5/6/1973studioMS

Sure! I can help you come up with a real-life situation involving radical expressions. Let's use the example of calculating the length of a diagonal in a rectangular house.

Imagine you have a rectangular room in your house with dimensions of 10 feet in length and 8 feet in width. You want to know the length of the diagonal across the room. To find this, you can use the Pythagorean theorem, which involves square roots (a type of radical expression).

Here's how to set up the problem:

1. Identify the length and width of the room:
Length = 10 feet
Width = 8 feet

2. Use the Pythagorean theorem: The formula is a^2 + b^2 = c^2, where "c" represents the length of the diagonal, and "a" and "b" represent the length and width of the rectangle.

3. Substitute the values into the formula:
10^2 + 8^2 = c^2

4. Simplify using exponents:
100 + 64 = c^2

5. Add the values:
164 = c^2

6. Take the square root of both sides to solve for "c":
√164 = √(c^2)

7. Simplify the radical expression on the left side:
c ≈ √(4 × 41)

In this case, the radical expression is √(4 × 41), which means taking the square root of the product of 4 and 41.

So, the length of the diagonal in this rectangular room is approximately √(4 × 41) feet.

This example uses the concept of radical expressions to solve a real-life problem, where you can apply the Pythagorean theorem to find the length of the diagonal in a rectangular house.