Question

prove that 6 - root 5 is an irrational number

Answer 1

using simple rule of rational number we can solve it...

see attachment.....

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hope it will help u

Answer 2

Answer:

6-√5 is a rational number.

Step-by-step explanation:

Let us assume 6-√5 is a rational number.

$6-\sqrt{5}=\frac{a}{b}$

Where , a,b are integers, a≠0

$\implies 6-\frac{a}{b}=\sqrt{5}$

$\implies \frac{6b-a}{b}=\sqrt{5}$

Since , a, b are integers $\frac{(6b-a)}{b}$ is a Rational number,So, √5 is also rational.

But ,this contradicts the fact that √5 is an irrational.

Therefore,

Our assumption is wrong.

6-√5 is a rational number.

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