SOLUTION: Hi, I was wondering if you could help me with this problem. {{{ sqrt(5ab) * sqrt(10ab^2) }}} thank you!!

Algebra ->  Radicals -> SOLUTION: Hi, I was wondering if you could help me with this problem. {{{ sqrt(5ab) * sqrt(10ab^2) }}} thank you!!      Log On


   

Question 37746: Hi, I was wondering if you could help me with this problem.
+sqrt%285ab%29+%2A+sqrt%2810ab%5E2%29+
thank you!!
Answer by junior403(76) About Me  (Show Source):
You can put this solution on YOUR website!
We first need to use the product rule for radical expressions to combine the terms.
So, because these expressions are contained by the same root symbol...
+sqrt%285ab%29+%2A+sqrt%2810ab%5E2%29+
Can be combined as...
sqrt+%285ab%2A10ab%5E2%29
Then...
sqrt+%2850a%5E2b%5E3%29
Then we can simplify as...
5ab%2Asqrt+%282b%29
Because 50 = 25*2, the square root of 25 is 5, so that comes out and the 2 remains under the sq root symbol. The same thing happens with the variables.
And thats pretty much it.
I hope this helps.
Good Luck!