Question

prove that 5-2root3 is irrational​

Answer 1

Answer:

Let assume that

is rational.

Therefore it can be expressed in the form of

, where p and q are integers and q≠0

Therefore we can write

=

2√3= 5 -

⇒ √3 =

is a rational number as p and q are integers. This contradicts the fact that √3 is irrational,

so our assumption is incorrect. Therefore

is irrational.

Answer 2

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