Q. 5 A5.0( 3 Votes )

# Prove that following numbers are irrational :6 + √2

Let us assume 6 + is rational

6 + can be written in the form where a and b are co-prime.

Hence, 6 + =

= – 6

=

=

Since, rational ≠ irrational

, Our assumption is incorrect.

Hence, 6 + is irrational.

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