Question

i dont understand about the square root of -144 idk if its 12 or negative 12

Answer 1

12

Answer 2

how is it 12 when its a negative?

Answer 3

my teacher just told me you will not have a negative square root

Answer 4

You cant have a negative square root

Answer 5

ex: the square root of 9 is 3 because 3x3=9 right?

Answer 6

so when you square root a negative number it will really be positive

Answer 7

if you want to find the square root of -9 what two numbers are the same and multiply to -9? nothing.

Answer 8

When you find the square root of something you are asking yourself what two numbers multiply to that but they have to be the same.

Answer 9

if you are finding the square root of 16 it would be 4 but if you are finding the square root of -16 you cant multiply two numbers that are the same to give you -16. -4 times -4 = 16.

Answer 10

o.O I think there is misconception among here.

See, I can write \(\large{\sqrt{-144}}\) as \(\large{\sqrt{-1} \times \sqrt{144}}\)

Right?

Answer 11

have you learnt about iota ?

Answer 12

iota = \(\sqrt{-1}\)

therefore we have the value of sqrt of -144 as 12 * iota

Answer 13

\(\large{\sqrt{-144} = \sqrt{144} * \sqrt{-1} = 12 * i}\)

i is iota here

Answer 14

no i havent learned any iota