Verified answer

2√8

using the properties of radicals, you can rewrite 2√8 as:

=2 x √4 x √2 (the "x" means multiplication) (also, √4 x √2= √8. that's one of the properties of radicals)

= 2 x 2 x √2 (√4= 2)

= 4 x √2 (2 x 2= 4)

=4√2

factor the actual radical itself, because our expression is

2 times √8

to simplify the radical, we need to break it down into 2 factors, one of which needs to be a perfect square

SO factors of 8: 1 and 8, 2 and 4...... the only pair of factors with a square in it, is 2 and 4 [because 4 is a perfect square]

SO 8 = 2 x 4

plug that in:

2 times √(2x4)

which is the same as

2 times [√4 x √2]

which is the same as

2 times [ 2 x √2]

is the same as

2 times 2 times √2

is the same as

4 times √2

is the same as

4√2

2√8

4√3

Hope this helps!