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

B) It is irrational and equal to
`= 4√(2)`

Explanation:

The expression,
`√(18) + √(2)` , is an irrational expression because it contains two irrational numbers,
`√(18)` and
`√(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:

`√(18) + √(2)`

`= √(9*2) + √(2)`

`= √(9)*√(2) + √(2)`

`= 3√(2) + √(2)`

`= 4√(2)`