Simplify the radical expression and shows steps

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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.

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Now simplify the square root

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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 answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation: