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Asked by: Neil Kihn
Updated: 18 June 2020 08:42:00 AM

What is the simpler form of the radical expression 36g^6?

Explanation: √36g6 can be rewritten as √36⋅√g6 .

Given this circumstance, what is a simpler form of the radical expression?

Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.

With this consideration in mind, what is radical 6 simplified?

√6 = 2.449
Thus, this is the simplified version of the square root of 6.

In addition how are radical expressions simplified?

An expression is considered simplified only if there is no radical sign in the denominator. If we do have a radical sign, we have to rationalize the denominator . This is achieved by multiplying both the numerator and denominator by the radical in the denominator.
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Related questions and answers

What is the constant rate of change?

A constant rate of change means that something changes by the same amount during equal intervals. A graph that has a constant rate of change is a line, and the rate of change is the same as the slope of the line. y.

Is average rate of change the same as derivative?

The average rate of change gives the slope of a secant line, but the instantaneous rate of change (the derivative) gives the slope of a tangent line. Also note that the average rate of change approximates the instantaneous rate of change over very short intervals.

What is the rate of change on a graph?

A rate of change relates a change in an output quantity to a change in an input quantity. The average rate of change is determined using only the beginning and ending data. See (Figure). Identifying points that mark the interval on a graph can be used to find the average rate of change.

Why is slope a rate of change?

Explanation: Slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. If coordinates of any two points of a line are given, then the rate of change is the ratio of the change in the y-coordinates to the change in the x-coordinates.

What is the appropriate domain for the function?

Functions assign outputs to inputs. The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

What is radical expression with example?

In mathematics, a radical expression is defined as any expression containing a radical (√) symbol. Many people mistakenly call this a 'square root' symbol, and many times it is used to determine the square root of a number. However, it can also be used to describe a cube root, a fourth root, or higher.

What is the definition of range in math terms?

The range is the difference between the largest and smallest numbers.

How do you tell if a graph is a function?

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

How do I find the range of a function?

Overall, the steps for algebraically finding the range of a function are:
  1. Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
  2. Find the domain of g(y), and this will be the range of f(x).
  3. If you can't seem to solve for x, then try graphing the function to find the range.

How do you find the range of a quadratic function?

For every polynomial function (such as quadratic functions for example), the domain is all real numbers. if the parabola is opening upwards, i.e. a > 0 , the range is y ≥ k ; if the parabola is opening downwards, i.e. a < 0 , the range is y ≤ k .

How do I find the average rate of change?

To find the average rate of change, we divide the change in the output value by the change in the input value.

How do you show a domain?

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

How do you find the range of a graphed function?

Remember that the range is how far the graph goes from down to up. Look at the furthest point down on the graph or the bottom of the graph. The y-value at this point is y = 1 y=1 y=1. Now look at how far up the graph goes or the top of the graph.

What is difference between domain and range?

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. They may also have been called the input and output of the function.)

How do I find the domain and range of a function?

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. A rational function is a function of the form f(x)=p(x)q(x) , where p(x) and q(x) are polynomials and q(x)≠0 .

How can you apply domain and range in real life situation?

To apply the domain and range in real-world settings, we take a function that represents a real-world situation and then analyze what the domain and range represent in the function. This allows us to apply the domain and range in a real-world setting.

What is the meaning of radical expression?

MORE: Radical - The √ symbol that is used to denote square root or nth roots. Radical Expression - A radical expression is an expression containing a square root. Radicand - A number or expression inside the radical symbol. Radical equation - An equation containing radical expressions with variables in the radicands.

Which line has the greatest slope?

the black line has the greatest slope because if you at the green line its going right across the graph.

How do you determine if a radical is defined?

To determine the domain of a radical function algebraically, find the values of x for which the radicand is nonnegative (set it equal to ≥0 ) and then solve for x . The radicand is the number or expression underneath the radical sign.

What is domain and range of a graph?

Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

What is a linear function give at least two examples?

Answer: Graphs of linear functions: The blue line, y=12x−3 y = 1 2 x − 3 and the red line, y=−x+5 y = − x + 5 are both linear functions.

Is average rate of change the same as slope?

The slope is the average rate of change about a point as the interval over which the average is being taken is reduced to zero. the slope of f(x) at x is indicated by the blue line.