How do you simplify the radical: sqrt12sqrt101210?

1 Answer
Apr 7, 2015

The answer is 2sqrt(30)230.

sqrt (12) sqrt (10)1210

sqrt (10)10 cannot be further simplified, as it is the sqrt (2xx5)2×5, both of which are prime numbers.

sqrt (12)=sqrt (4xx3)=2sqrt312=4×3=23
The square root of 4 is 2, and 3 is a prime number, so cannot be further simplified.

sqrt (12) sqrt (10)1210 =

2sqrt(3)*sqrt(10)2310 =

2sqrt (30)230