Math, asked by rupanjali31, 2 months ago

27. Prove that 2- root 5 is irrational, given that root
5 is irrational. ​

Answers

Answered by tanya6968
0
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.
Answered by devking09
2

Answer:

Hello friend good morning

happy gudi padva

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