SOLUTION: Please could someone help me with this question??? Find the product of each pair of conjugate surds. (5sqrt3 +3sqrt2)(5sqrt3 -3sqrt2) Thank You!!!

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Please could someone help me with this question??? Find the product of each pair of conjugate surds. (5sqrt3 +3sqrt2)(5sqrt3 -3sqrt2) Thank You!!!      Log On


   

Question 347907: Please could someone help me with this question???
Find the product of each pair of conjugate surds.
(5sqrt3 +3sqrt2)(5sqrt3 -3sqrt2)
Thank You!!!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%285%2Asqrt%283%29+%2B3%2Asqrt%282%29%29%285%2Asqrt%283%29+-3%2Asqrt%282%29%29+
This is the same as %28a+%2B+b%29%2A%28a+-+b%29+=+a%5E2+-+b%5E2,
a+=+5%2Asqrt%283%29
b+=+3%2Asqrt%282%29
a%5E2+%2B+b%5E2+=+25%2A3+-+9%2A2
a%5E2+%2B+b%5E2+=+75+-+18
75+-+18+=+57