Question

3] Show that 4+root5 is an irrational number. Solution :​

Answer 1

Step-by-step explanation:

Let it is a rational number which is in the form a/b. a and b are integers.

$4 \sqrt5=a/b \\ \sqrt{5} = a/4b$

since,$\sqrt{5}$is irrational but a/4b is a rational number.

so we arrive at contradiction. Hence our supposition was wrong.

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