2±√44 / 2

How do you simply this radical

depends on whether the 2 divides everything or just the square root

see below

Step-by-step explanation:

2 ±sqrt (44) / 2

We know that sqrt (ab) = sqrt (a) sqrt (b)

2 ±sqrt (4*11) / 2

2 ±sqrt (4) sqrt (11) / 2

{2 ±2 sqrt (11) } / 2

Now if the 2 in the denominator is under the entire top

Factor out a 2

2 (1±sqrt (11) } / 2

Cancel the 2

1±sqrt (11)

If the 2 is just under the sqrt of 44

2±2sqrt (11) / 2

Cancel the 2 in the numerator and denominator

2±sqrt (11) / 1

2±sqrt (11)