Question

Simplify completely: the square root of -60

Answer 1

please help ... PLEASE

Answer 2

@jim_thompson5910 CAN YOU HELP ME WITH THIS??

Answer 3

Can you factor 60 into two factors where one factor is a perfect square?

Answer 4

THEN IT WOULD BE 6*10

Answer 5

Is 6 a perfect square?

Answer 6

??? IDK thats why your here to help

Answer 7

what is the square root of 6?

Answer 8

i got so many answers i dont know which one is right at all .. . ..

Answer 9

use a calculator to find the square root of 6 and tell me what you get

Answer 10

i got 2

Answer 11

any decimal part?

Answer 12

2.449489743

Answer 13

so because the square root of 6 is not a whole number, this means that 6 is not a perfect square

Answer 14

what about 10? is that a perfect square?

Answer 15

nope

Answer 16

good, so 60 = 6*10 doesn't help us get closer toward the answer

Answer 17

so what's another factorization of 60 where on factor is a perfect square?

Answer 18

one*

Answer 19

2 and 15

Answer 20

you mean 4 and 15 right?

Answer 21

yea

Answer 22

so

\[\Large -\sqrt{60}\]


\[\Large -\sqrt{4*15}\]


\[\Large -\sqrt{4}*\sqrt{15}\]


\[\Large -2\sqrt{15}\]


which means \[\Large -\sqrt{60}=-2\sqrt{15}\]

Answer 23

so 2 square root of 15i because this is not an answer

Answer 24

If it's \[\Large \sqrt{-60}\] instead, then


\[\Large \sqrt{-60}\]


\[\Large 2i\sqrt{15}\]


using the same idea

Answer 25

the drawing is not an answer

Answer 26

but we're now introducing this 'i' term where \[\Large i = \sqrt{-1}\]

Answer 27

so its this because thats a choice

Answer 28

no it's not that if the problem is \[\Large \sqrt{-60}\]

Answer 29

yea and it say simplify completely

Answer 30

but thosee are the choices ??

Answer 31

these are the choices ..

Answer 32

\[\Large \sqrt{-60} = 2i\sqrt{15}\] as shown above


you can rewrite it as \[\Large \sqrt{-60} = 2\sqrt{15}i\] where that 'i' is not in the square root

Answer 33

but its in the answer choices so thats why i didnt understand where the i came from

Answer 34

well \[\Large i = sqrt{-1}\] so we're factoring this out

Answer 35

this is so we don't take the square root of a negative number

Answer 36

ok ? .. so

Answer 37

so it looks like choice A

Answer 38

yea it looks like a they are trying to confuse us by putting that i in there

Answer 39

@jim_thompson5910 come back lol

Answer 40

sorry lol, yeah it's probably a typo and I'm guessing they really meant to put the 'i' outside the square root