SOLUTION: Can you explain to me step by step how you figure the two square roots multiplied to get a given principle root. ex: sq. rt. 4 * sq. rt. 7 = sq. rt. 28

Algebra ->  Square-cubic-other-roots -> SOLUTION: Can you explain to me step by step how you figure the two square roots multiplied to get a given principle root. ex: sq. rt. 4 * sq. rt. 7 = sq. rt. 28       Log On


   

Question 269895: Can you explain to me step by step how you figure the two square roots multiplied to get a given principle root. ex: sq. rt. 4 * sq. rt. 7 = sq. rt. 28
Found 2 solutions by drk, Alan3354:
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
we start with
sqrt%284%29%2A+sqrt%287%29
The rules allow us to multiply what is under the square root, or 4 x 7 = 28. This gives us
sqrt%2828%29

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
+sqrt%284%29%2Asqrt%287%29+=+sqrt%284%2A7%29+=+sqrt%2828%29
That might not be the best example, because sqrt(4) = 2.
-----------------
+sqrt%28x%29%2Asqrt%28y%29+=+sqrt%28x%2Ay%29