Show that 15 is an irrational number.

Let r be a rational number and x be an irrational number. Use proof by contradiction to show that r+x is an irrational number.

Show that 3+5√2 is an irrational number.

Show that sqrt2 is an irrational number.

Let r be a rational number and x be an irrational number. Use proof by contradiction to show that r + x is an irrational number.

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

Show that 2sqrt3 is an irrational number.

Show that 3+sqrt(5) is an irrational number, assuming that sqrt(5) is an irrational number.

Show that 2+sqrt3 is an irrational number.

Show that sqrt2 is irrational.

Show that sqrt2 is irrational.