Question

9.11. Prove that 2 + V3 is irrational​

Answer 1

Answer:

2 + V3 is irrational​

Step-by-step explanation:

• Let ( 2 + √3 ) is an Rational Number.

• ∴ ( 2 + √3 ) can be written in the form of p/q.

• =) ( 2 + √3 ) = p/q

• =) √3 = p/q - 2

• =) √3 = ( p - 2q)/q

Here,

• p and q are some integers.

• =) [( p - 2q)/q ] is an Rational Number but we know that √3 is an Irrational Number.

Rational Number can never be equal to Irrational Number.

• ∴ [( p - 2q)/q ] is an Irrational Number.

• This Contradicts our supposition that ( 2 + √3 ) is a Rational Number.

• Hence,

• ( 2 + √3 ) is an Irrational Number.

• thank u

Answer 2

Answer:

thanks

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