Question

Which smallest irrational number to be added to 3+√2 to get a rational number?​

Answer 1

Answer:

√2 is the smallest irrational number

Answer 2

Answer:

The smallest irrational number to be added to 3+√2 to get a rational number =  -√2

Step-by-step explanation:

Given irrational number is  3+√2

To find,

The smallest irrational number to be added to get a rational number.

Solution:

The given number is 3+√2

The rational part of this number is 3 and the irrational part of the number = √2

To get a rational number, we should eliminate the irrational part in the number 3+√2

Hence the smallest number to be added to eliminate √2 = -√2

Then we get,  3+√2 +(-√2) = 3, a rational number.

∴ The smallest irrational number to be added to 3+√2 to get a rational number =  -√2

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