### Prove that

1 |

√11 |

**Answer:**

**Step by Step Explanation:**

- Let's assume

is a rational number.1 √11

Therefore, we can find two integers, a and b, such that,

=1 √11

[where, b is not equal to zero.]a b - Now,

√11 =b a

is a rational number as a and b are integers.b a

Therefore, √11 is a rational which contradicts to the fact that √11 is Irrational.

Hence, our assumption is false and

is irrational.1 √11 - Therefore,

is an irrational number.1 √11