Question

An expression is shown below: square root of 18 plus square root of 2 Which statement is true about the expression? URGENT

it is rational and equal to 3

it is rational and equal to 4

It is irrational and equal to 3 multiplied by the square root of 2 .

It is irrational and equal to 4 multiplied by the square root of 2 .

Answer 1

It is irrational and equal to 4 multiplied by the square root of 2.

Therefore, option d is true.

Explanation:

As the expression is

'square root of 18 plus square root of 2'.

i.e.
`√(18)+√(2)`

Lets solve the expression

`√(18)+√(2)`

`=3√(2)+√(2)` ∵
`√(18)=3√(2)`

`\mathrm{Add\:similar\:elements:}\:3√(2)+√(2)=4√(2)`

`=4√(2)`

or

`=5.65685\dots` (in decimal place)

• 5.65685 indicates that it is irrational and can not be written in the form p/q

Thus, it is irrational and equal to 4 multiplied by the square root of 2.

Therefore, option d is true.