SOLUTION: Simplify the expression sqrt(84/14)*sqrt(68/56)

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Question 1050249: Simplify the expression
sqrt(84/14)*sqrt(68/56)
Found 2 solutions by Tatiana_Stebko, josmiceli:
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use the rule:
+a%5Eb+%2A+c%5Eb+=+%28+a%2Ac+%29%5Eb+
------------------------
+sqrt%28+84%2F14+%29%2Asqrt%28+68%2F56+%29+
+sqrt%28+6+%29%2Asqrt%28+17%2F14+%29+%0D%0A%7B%7B%7B+sqrt%28+6%2A%28+17%2F14+%29+%29+
+sqrt%28+51%2F7+%29+
--------------------
check answer:
+sqrt%28+84%2F14+%29%2Asqrt%28+68%2F56+%29+
+sqrt%28+6+%29+%2A+sqrt%28+1.21429+%29+
+2.44949+%2A+1.10195+=+2.69922+
and
+sqrt%28+51%2F7+%29+=+sqrt%28+7.28571+%29+
+sqrt%28+51%2F7+%29+=+2.69921+
Looks close enough