Maths-

General

Easy

Question

# Classify whether the following Surd is rational or irrational , Justify.√47+√8

Hint:

### Use properties of rational and irrational numbers.

## The correct answer is: irrational number.

### Complete step by step solution:

On prime factorization, we can write

(Since 47 is a prime number)

Here both the numbers are irrational.

On adding , we get an irrational number.

This cant be written in the form , where p and q are integers.

∴ is an irrational number.

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