Question

Which is the simplest radical form of √212?
a) 2√3
b) √4√3
c) 8√3
d) 12√2

Answer 1

The simplest radical form of √212 is 12√2.

Step-by-step explanation:

The simplest radical form of √212 is option d) 12√2.

To simplify a radical, we look for the largest perfect square factor of the number under the radical sign. In this case, the largest perfect square factor of 212 is 4, so we can simplify the radical as √(4 * 53). The perfect square factor 4 can be taken outside the radical, giving us 2√53. Therefore, the simplest radical form of √212 is 12√2.