SOLUTION: i dont understand square roots?? PLEASE HELP Simplify (Square root 8x^2y)(Square root 2xy) Identify the conjugate of 4Square root 2 - 2 Square root 3

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Question 432634: i dont understand square roots?? PLEASE HELP
Simplify (Square root 8x^2y)(Square root 2xy)
Identify the conjugate of 4Square root 2 - 2 Square root 3
Found 2 solutions by vleith, ewatrrr:
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
A)sqrt%288x%5E2y%29+%2A+sqrt%282xy%29
sqrt%288x%5E2y%2A2xy%29
sqrt%2816x%5E3y%5E2%29
sqrt%2816%29+%2A+sqrt%28x%5E2%2Ax%29+%2A+sqrt%28y%5E2%29
4+%2A+x+%2Asqrt%28x%29+%2A+y
4xy+%2A+sqrt%28x%29
B) the conjugate is the same pair of terms with the sign changed
Given
4sqrt%282%29+-+2%2Asqrt%283%29
the conjugate is
4sqrt%282%29+%2B+2%2Asqrt%283%29

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Note: sqrt%28a%29sqrt%28b%29+=+sqrt%28a%2Ab%29+ & %28+x%5Em+%29%28+x%5En+%29+=+x%5E%28+m+%2B+n+%29



 



conjugate of:

4sqrt%28+2%29+-+2sqrt%28+3+%29 is 4sqrt%282%29+%2B+2sqrt%283%29

Note: Multiplying conjugates will remove the radicals

%284sqrt%28+2%29+-+2sqrt%28+3+%29%29%284sqrt%282%29+%2B+2sqrt%283%29%29 = 32 -12 = 20