Which statement is true about the product square root of 2 (5 + square root of 8 )? (2 points)
a. It is rational and equal to 7.

b. It is rational and equal to 9.

c. It is irrational and equal to 4 + square root of 10 .

d. It is irrational and equal to 4 + 5 square root of 2 .

d

Step-by-step explanation:

when the equation is written out, you get the square root of 8 can be rewritten as 2 times the square root of 2. if you distribute the root two into the parenthesis you get 5 root two plus 4, because two root two times two comes out to two times two which is four. so your answer is d, 4 + 5 sqrt 2

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: