Question

Simplify the following expression; express in terms of i.
Squareroot -54

Answer 1

ok, do you know how to simplify radicals?

Answer 2

3isqrt6

Answer 3

nope

Answer 4

3i sqrt6

Answer 5

would you like to learn?

Answer 6

yes please

Answer 7

ok, so:
lets say we have a radical number, sqrt54
54 is made of 9*6
9 is also 3*3, so the squareroot of 9 is 3.
you can "Pull out" the square roots of numbers from under the radical sign, so sqrt54 would become 3sqrt6
for this question, because it's sqrt-54, you have to think of i.
i is the square root of -1, just like 3 is for 9.
You can pull out 3i from this equation, which is the squareroot of -9.
this leaves you with 3isqrt6.
do you get it? :D

Answer 8

yes I do thank you it was very understandable now that it was explained to me

Answer 9

Glad to help! :D