Question

prove that 5 + 2 root 2 is irrational number​

Answer 1

Given:

5+2√2

To prove:

The given number is the irrational number:

Solution:

Irrational numbers are the number which cannot be represented in the form of p/q where p and q are the integers and q must not be equal to 0.

and we know that the prime numbers under the root are the irrational numbers.

√2 is an irrational number.

so, 2√2 is also an irrational number

and the sum of the irrational number with any of the number is the irrational number only.

5+2√2 is an irrational number.

Hence proved