Question

classify as rational or irrational​

Answer 1

Answer:

rational number is that

Answer 2

Answer:

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Q.1 )

Irrational

Q.2 )

Rational

Q.3 )

Irrational

Step-by-step explanation:

REASON :

Q.1 )

LET US ASSUME THAT 3 + ROOT 5 IS A RATIONAL NUMBER .

3 + ROOT5 = p/q where q is not equal to 0 and p and q are integers .

3 +ROOT 5 = a / b where a and b are co - prime

Therefore ,

Root 5 = a / b - 3

But we know that root 5 is an irrational number .

This contradicys the fact that 3 + root 5 is a rational number. This is because of our wrong assumption that 3 + root5 is a rational number .

REASON

Q.2 )

$(2 + \sqrt{3} ) + (2 - \sqrt{3} ) \\ = 2 + \sqrt{3} + 2 - \sqrt{3} \\ = 4$

Therefore it is a rational number .

REASON

Q.3 )

Let us assume that pie - 2 is rational .

therefore ,

pie - 2 = p / q where p and q are integers and q os mot equal to 0.

pie -2 = a / b where a and b are co -prime

pie = a / b + 2

But we know that pie is a irrational number .

This contradicts the fact that pie - 2 is a rational number .

This is because of our wrong assumption that pie - 2 is an rational number.

Irrational number .