Question

squareroot of -50 simplified

Answer 1

\[\sqrt{-50}\]

Answer 2

sqrt (-50) can be written as sqrt(50 x -1)

can you finish it? use the fact that sqrt (-1) = i

Answer 3

wow..i know that part its the part after that confuses me

Answer 4

Ok, so sqrt(-50) = sqrt(50 x -1) = i x sqrt(50)

What square number goes into 50?

Answer 5

10 and 5

Answer 6

They are factors of 50, but they are not square numbers as their roots are irrational. What other factors go into 50?

Answer 7

2 ,5,1,10,..its all confusing me

Answer 8

Ok do it in pairs

1 and 50 are factors of 50
2 and 25 are factors of 50
5 and 10 are factors of 50

which one of these 6 numbers has a nice and easy square root?

Answer 9

5 and 10 or 1 and 50

Answer 10

I don't think you understand me :) I mean which of these 6: 1,2,5,10,25 has a square root you can do

Think of it like this, is 2^2 = 4 << nope 4 is not in our list
3^2 = 9 << nope 9 is not either
4^2 = 16 nope
5^2 = ???

Answer 11

25

Answer 12

Yeah! So we can write

i x sqrt (50) as

i x sqrt (25 x 2)

Now can you finish it? :)

Answer 13

yes..thanks so i think the answer is 5i squareroot 2 ?

Answer 14

Yeah, that's right! Just practice a few of them you'll get the hang of it :)

Answer 15

thanks