Question

prove that
$2 \sqrt{5 } - 3 \sqrt{3}$
Is a irrational please tell me answer fast........
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Answer 1

Answer:

Let x=2−3

5

be a rational number.

3

5

=2−x

5

=

3

2−x

Since x is rational, 2-x is rational and hence

3

2−x

is also rational number

⇒

5

is a rational numbers, which is a contradiction.

Hence 2−3

5

must be an irrational number

Step-by-step explanation:

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