How do you simplify the radical: #sqrt12sqrt10#?

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Answer 1 · 2015-04-07T00:01:31

The answer is #2sqrt(30)#.

#sqrt (12) sqrt (10)#

#sqrt (10)# cannot be further simplified, as it is the #sqrt (2xx5)#, both of which are prime numbers.

#sqrt (12)=sqrt (4xx3)=2sqrt3#
The square root of 4 is 2, and 3 is a prime number, so cannot be further simplified.

#sqrt (12) sqrt (10)# =

#2sqrt(3)*sqrt(10)# =

#2sqrt (30)#