#sqrt(8)# can be rewritten as:
#sqrt(4 * 2 * -1)#
We can use this rule for radicals to simplify the expression:
#sqrt(color(red)(a) * color(blue)(b)) = sqrt(color(red)(a)) * sqrt(color(blue)(b))#
#sqrt(color(red)(4) * color(blue)(2) * color(green)(-1)) =>#
#sqrt(color(red)(4)) * sqrt(color(blue)(2)) * sqrt(color(green)(-1)) =>#
#2sqrt(color(blue)(2)) * sqrt(color(green)(-1))#
The symbol #i# which is an imaginary number is another way to write: #sqrt(-1)# so we can rewrite the expression as:
#2sqrt(color(blue)(2)) * i =>#
#2isqrt(color(blue)(2))#
If necessary we can approximate #sqrt(2)# as #1.414# and get:
#2 * 1.414i =>#
#2.828i#
