If p,q,r be three distinct real numbers, then the value of `(p+q)(q+r)(r+p),` isA. `gt8pqr`B. `lt8pqr`C. `8pqr`D. none of these

If p,q,r be three distinct real numbers, then the value of `(p+q)(q+r)

1.	If p,q,r be three distinct real numbers, then the value of `(p+q)(q+r)(r+p),` isA. `gt8pqr`B. `lt8pqr`C. `8pqr`D. none of these
Answer» Correct Answer - A Using `A.M.gtG.M.,` we have `(p+q)/(2)gtsqrt(pq),(q+r)/(2)gtsqrt(qr)" and "(r+p)/(2)gtsqrt(rp)` `implies" "p+qgt2sqrt(pq),q+rgt2sqrt(qr)" and "r+pgt2sqrt(rp)` `implies" "(p+q)(q+r)(r+p)gt2sqrt(pq)xx2sqrt(qr)xx2sqrt(rp)` `implies" "(p+q)(q+r)(r+p)gt8pqr`

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