Question

prove that √3,√5 is irrational​

Answer 1

Answer:

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$\sqrt{3}$

 ⟹ The number √3 is irrational ,it cannot be expressed as a ratio of integers a and b. To prove that this statement is true, let us Assume that it is rational and then prove it isn't (Contradiction).

$\sqrt{5}$

 ⟹ Say, √5 is a rational number. ∴ It can be expressed in the form p/q where p,q are co-prime integers. Hence, p,q have a common factor 5. ... Therefore 2-√5 is also irrational because difference of a rational and an irrational number is always an irrational number

Answer 2

Step-by-step explanation:

let √ 3 be rational

write in form of p/q

then square both sides

if 3 divides p square then it also divides p

then let p equal to 3 square

do same as 1 st