The simplified radical for the given equation is 2√3.
The given equation is .
Radical of any number is the same as the root of the number. The root can be a square root, cube root, or in general, it is nth root. Thus, any expression or number that uses a root is known as a radical.
To compute for the values of x given the proportion, we can cross-multiply both sides of the equation as follows:
⇒x×x=3×4
⇒x²=12
⇒x=±√12
From this, we can see that the solutions for the equation are the positive and negative roots of 12.
By simplifying the radical, we get √12 = √(2² x 3) = 2√3
Therefore, the simplified radical for the given equation is 2√3.
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Situation of non- proportional relationship :
The circumference of a circle with a radius of x units can be represented by = 2nx.
The perimeter of an equilateral triangle with a side length of x units can be represented by y = 3x
The total surface area of a cylinder with a radius of 1 unit and height of x units can be represented by y = 2xx + 2x
The radius of a circle with a diameter of x units can be represented by y =
a proportional relationship is a relationship between two quantities in which the ratio of one quantity to the other quantity is constant. The graph of a proportional relationship is a line through the origin.
When ratios between quantities are not constant, a relationship may be linear but not proportional and the graph does not pass through the origin.
The graph shows the sales tax charged based
on the amount spent at a video game store in
a particular city. Does the graph show a linear
relationship? Is the relationship proportional
or nonproportional?
The graph shows a linear proportional
relationship because it is a line that contains
the origin.
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