Question

prove that root 3 minus root 2 is irrational number ​

Answer 1

Answer:

Here your answer

first assume that√3-2 is a rational number

Then you can write it in form p/q where pand q both are co_primes as √3-2=p/q

co prime means it has only common factor as 1

then by taking 2from LHS to RHS

we got√3=p-2q/q

as we can see in above equation RHS is a rational number but in LHS as we know√3 is a irrational number

It contrdects our fact that √3-2is rational

So we concluded that √3-2is irrational number. ...........proved

Step-by-step explanation:

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Answer 2

Answer:

let is assume that root 3_root 2 is rational number

p/q =root 3 -root 2

root2q-rootp/q= root3

root2q-rootp/q is rational number

but, root3 is irrational numbe

so , our assumption is wrong root3-root 2 is irrational number