What is the square root of 8

8 = 4 times 2

So √ (8) = √ (4 times 2).

√ (4 times 2) is the same thing as (√4) times (√2).

We know that √4 is + 2 and - 2, so we can write it as

√ (4 times 2) = (plus and minus 2) times (√2).

That's the only was to write the exact answer, since you can never write

the exact square root of 2 with only digits. If you need to write it without

a square root sign, then you have to round it.

(plus and minus 2) times (√2) =

(plus and minus 2) times (1.4142) =

plus and minus 2.8284 (rounded)

√8 = ± 2.8284271247462.

When you multiply ± 2.8284271247462 by itself, you still get 8.