Question

An expression is shown below:

square root of 18 plus square root of 2

Which statement is true about the expression?

A.) It is rational and equal to 3.
B.)It is rational and equal to 4.
C.)It is irrational and equal to 3 multiplied by the square root of 2.
D.)It is irrational and equal to 4 multiplied by the square root of 2.

Answer 1

Do you know how to set up this problem?

Answer 2

@celinegirl

Answer 3

Well, the 2 is already prime, so we don't have to factor it.

Answer 4

We have to factor 18

Answer 5

hint:
we can write this:
\[\huge \begin{gathered}
\sqrt {18} + \sqrt 2 = \sqrt {9 \cdot 2} + \sqrt 2 = \hfill \\
\hfill \\
= \sqrt 9 \cdot \sqrt 2 + \sqrt 2 = 3\sqrt 2 + \sqrt 2 = ...? \hfill \\
\end{gathered} \]

Answer 6

since \( \sqrt 9 = 3\)

Answer 7

3 times the square root of two + 1 times the square root of two = ?
@celinegirl

Answer 8

And is that rational or irrational?

Answer 9

eh i dont know @malcolmmcswain