Question

An expression is shown below

Which statement is true about the expression:
A) it is rational and equal to 4 √ 2
B) It is irrational and equal to 4 √ 2
C) it is rational and equal to 3 √ 2
D) it is irrational and equal to 3 √ 2

Answer 1

Answer:

B) It is irrational and equal to $= 4\sqrt{2}$

Step-by-step explanation:

The expression, $\sqrt{18} + \sqrt{2}$ , is an irrational expression because it contains two irrational numbers, $\sqrt{18}$ and $\sqrt{2}$ . Both number are not perfect square. there is no whole number that would be squared that will give you 18 nor 2.

The expression can be equals the following:

$\sqrt{18} + \sqrt{2}$

$= \sqrt{9*2} + \sqrt{2}$

$= \sqrt{9}*\sqrt{2} + \sqrt{2}$

$= 3\sqrt{2} + \sqrt{2}$

$= 4\sqrt{2}$