Simplify the radical expression and shows steps

=============================================

Let

We can replace every square root of 8 with x, since we have that equation above. We end up with 3-x+7+3x. This simplifies to 2x+10 after combining like terms.

Now we can reintoduce the square root back in

The use of x is optional as you can combine like terms directly. However, it might help to make the temporary replacement.

-------------

Now simplify the square root

--------

Therefore,

turns into

10 + 4sqrt(2)

Step-by-step explanation:

3 - sqrt(8) + 7 + 3sqrt(8)

3 - 2sqrt(2) + 7 + 6sqrt(2)

10 + 4sqrt(2)

sqrt: square root

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.