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Maths-

General

Easy

Question

Classify whether the following Surd is rational or irrational , justify 4√5+ 9

hint Hint:

Use properties of rational and irrational numbers.

The correct answer is: irrational number.

Complete step by step solution:
$4 square root of 5$ (It is an irrational number)
$9 equals 9 over 1$ (It is a rational number)
Here one number is irrational and the other is rational.
On addition, we have $9 plus 4 square root of 5$ , we get an irrational number.
(Since rational number + irrational number = irrational number)
This cant be written in the form $p over q$ , where p and q are integers.
∴ $9 plus 4 square root of 5$ is an irrational number.

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