Question

2±√44 /2


How do you simply this radical

Answer 1

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

see below

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)