Question

prove that 2 + 3 root 5 is irrational​

Answer 1

Answer:

2+3=5=5

hence it's proved

Step-by-step explanation:

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Answer 2

Answer:

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