SOLUTION: simplify (p-the square root of n)*(p + the square root of n)

Question 193956: simplify
(p-the square root of n)*(p + the square root of n)
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
these are conjugates, use distribution techniques to resolve, in fact use FOIL here,
,
(p-sqrt(n) ) * (p+sqrt(n) )
,
p^2 +p sqrt(n) - p sqrt(n) - sqrt(n) sqrt(n),,,,,,,,,,,note +psqrtn -psqrtn =0, typical of conjugates
,
p^2 - sqrt (n)^2,,,,,,note sqrtn^2=n
,
p^2 -n
,
check
let n=4, p=3,,,,use calculator on original and answer, both gave (5),,,ok
RELATED QUESTIONS
N varies jointly with the square root of p and the cube of q. If n=72 when p=3 and q=2,... (answered by josgarithmetic,ikleyn)

square root of p + square root of... (answered by funmath)

y varies jointly as m and the square root of n and inversely as p. y=15 when m=2,n=1, and (answered by ankor@dixie-net.com)

what's the square root of N to the 5th... (answered by checkley77)

how do i solve the square root of n=21? (answered by Alan3354)

How would i simplify this .. The square root of p to the... (answered by checkley75)

what is the square root of 27/p^2... (answered by Alan3354)

Please help me solve this problem: what is the square root of n+9 (under square root... (answered by 303795)

square root of p^2-3p+16 (the square root ends on top of... (answered by jim_thompson5910)