Question

Solve four square root of six plus eight square root of four and explain whether the answer is rational or irrational.

The answer twelve square root of ten is rational because the sum of a rational number and irrational number is a rational number.


The answer four square root of six plus sixteen is irrational because the sum of a rational number and irrational number is an irrational number.


The answer twelve square root of ten is irrational because the sum of a rational number and irrational number is an irrational number. The answer four square root of six plus sixteen is rational because the sum of a rational number and irrational number is a rational number.

Answer 1

The answer should be B

Explanation:

Answer 2

`4√(6)+16`

Explanation:

Given the expression:
`4√(6)+8√(4)`

`√(4)=2\\$Therefore, \\4√(6)+8√(4) =4√(6)+8*2\\ =16+4√(6)`

We can re-write the answer as:

`4√(6)+16`

The answer is irrational because the sum of a rational number and irrational number is an irrational number.

The correct option is B.