Question

I'm wondering if people can explain me with
square roots :D

Answer 1

ok where do you want to start?

Answer 2

I think you can redeem yourself here akshay

Answer 3

\[\sqrt{x^2}=\left| x \right|\]

Answer 4

is a very important point on square roots

Answer 5

the question says simplify the expression \[\sqrt{20}\]

Answer 6

ok

Answer 7

now the simplest way is to prime factorize 20. Can you do that?

Answer 8

i will try :D

Answer 9

ok go ahead man

Answer 10

\[20=2\times2\times5\]

Answer 11

right?

Answer 12

how about this?

Answer 13

\[\sqrt{20}=\sqrt{5*4}=\sqrt{5}*\sqrt{2}*\sqrt{2}\]

Answer 14

yes

Answer 15

i need to show my work like that lets try the other examples :D

Answer 16

so now we know \[\sqrt{4}=2\]

Answer 17

yes :D

Answer 18

ok sure. so we have \[\sqrt{20}=2\times \sqrt{5}\]

Answer 19

so the main concept is you prime factorize the number inside the square root

Answer 20

\[\sqrt{20}=2\times \sqrt{5} \] so this is the correct answer but why does 5 have a square root sign?

Answer 21

then if you have some thing like \[\sqrt{x}\times \sqrt{x}\] you know it is x

Answer 22

because you just have \[\sqrt{5}\] you can't simplify it further can you?? for 2 you had \[\sqrt{2}\times \sqrt{2}\] which turned out to be 2

Answer 23

So you getting it?

Answer 24

\[\sqrt{20}=2\times \sqrt{5}\] but how is it 20?

Answer 25

\[(\sqrt{5})^2=\sqrt{5\times} \sqrt{5}=5\]

Answer 26

ok we can write 2 as \[\sqrt{2}\times \sqrt{2}\]

so we have \[2\times \sqrt{5}=\sqrt{2\times} \sqrt{2}\times \sqrt{5}=\sqrt{2\times2\times5}=\sqrt{20}\]

Answer 27

so simplest form is \[2\times \sqrt{5}\]

Answer 28

yes right

Answer 29

so u getting the glimpse of how to solve such problems?

Answer 30

i guess

Answer 31

ok for you solve \[\sqrt{50}\]

Answer 32

go for it