Verified answer

√32=√16*2=4√2

√32=√16*√2=4√2

but after you divide by 2, you get 2√2

remember (a+b)/c = a/c+b/c

(2±√32)/2

2/2±√32/2

1±√32/2

1±4√2/2

1±2√2

i think it more like (2+/- √32)/2 =1+/-2√2

the answer: (2+/- √32)/2

=(2+/-(√16*√2))/2

=(2+/-4√2)/2

=2(1+/-2√2)/2

=1+/-2√2

√(32) /2 ''''''' 32 = 16*2

√(16*2) / 2 ''''' '''''√(a*b) = √a * √b

√16 * √2 / 2 '''''√16 = 4

4√(2) /2 '''' 4/2 = 2

2√2

The square root of 32 is the same as the square root of 16 times the square root of 2.

Since the square root of 16 is 4, then you get 4 times the sq rt of 2.

2 ±√32

---------- =

....2

2±√(16•2)

------------ =

.....2

2±4√2

------------ = factor out a 2

.....2

2( 1±2√2)

------------ = cancel the 2s

.....2

1 ± 2√2