Which of the following statements are true

The correct statement is:

is irrational and is a rational number

Step-by-step explanation:

We know that if we get a non-square term under a square root sign than that term is considered to be an irrational number.

We are given two numbers:

and

is a non-square number.

Hence, on taking the square root of this number will give us a irrational number.

We can write it as:

( Since )

could also be written as:

or

Hence, on taking square root of this number will give us:

which is a rational number.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions