Question

prove that the product of (5+2 under root 3 and (5-2under root 3 is rational​

Answer 1

Answer:

prove that the product of ( 5+2√3 and 5-2√3 is rational).

Step-by-step explanation:

Let us assume that 5+2√3 is rational 5+2√3=p/q( where people and q are co prime)

2√3= p/q -5

2√3= p-5 q/q

√3= p-5q 12q

Now p, 5,2 and q and integers

= p-5q/2q is rational

√3 is rational

But wo know that√3 is irrational.that is a contradiction which has arisen due to our wrong assumption.

therefore,5+2√3 is irrational.