Show that `sqrt2` is irrational.

Show that 3sqrt2 is irrational.

Show that 5-sqrt3 is irrational.

Show that sqrt3 is irrational. (Use the method of contradiction).

Show that sqrt7 is an irrational, (use the method of contradiction)

Verify by the method of contradiction that sqrt7 is irrational.

(i) Prove that sqrt2 is an irrational number. (ii) Prove that sqrt3 is an irrational number.

Define an irrational number and show that sqrt(5) is an irrational number.

Prove that sqrt2+sqrt2 is irrational .

Prove by method of contradiction that sqrt5 is an irrational number

Prove that sqrt5 is irrational, (use the method of contradiction).