Math, asked by shinshe2570, 5 months ago

Prove that√2×5isanirrationalnumber

Answers

Answered by ManickamSantosh

0

Step-by-step explanation:

If possible, let us assume 2+

5

is a rational number.

2+

5

=

q

p

where p,q∈z,q



=0

2−

q

p

=−

5

q

2q−p

=−

5

⇒−

5

is a rational number

∵

q

2q−p

is a rational number

But −

5

is not a rational number.

∴ Our supposition 2+

5

is a rational number is wrong.

⇒2+

5

is an irrational number

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