Which of the following are examples of rational numbers? select all that apply. \sqrt{4} + \sqrt{16} \sqrt{5} + \sqrt{36} \sqrt{9} + \sqrt{24} 2 · \sqrt{4} \sqrt{49} · \sqrt{81} 3\sqrt{12}

Answer with Step-by-step explanation:

\sqrt{4} + \sqrt{16}

=2+4

=6 which is rational

\sqrt{5} + \sqrt{36}

=√5 +6  which is irrational

\sqrt{9} + \sqrt{24}

=3+4√6which is irrational

2 \sqrt{4}

=2×2

=4 which is rational

\sqrt{49} · \sqrt{81}

=7×9

=63 which is rational

3\sqrt{12}

=3×4√3

=12√3 which is irrational

Hence, example of rational numbers are:

\sqrt{4} + \sqrt{16}

2 · \sqrt{4}

\sqrt{49} · \sqrt{81}

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

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1