Question

4/sqrt20 simplify please help

Answer 1

First, simplify sqrt20
\[\sqrt{20} = \sqrt{4\times 5} =\sqrt{2^2\times 5} = ...?\]

Answer 2

√20/5 this is what I got?

Answer 3

Ah... Not the simplified one, I think...
Can you simplify sqrt20?

Answer 4

Yes and no

Answer 5

Lol well 5 goes into 20 Cz 4x5 and 5x1 so wold it be sqrt4/1 ???

Answer 6

Not really...
\[\frac{4}{\sqrt{20}} = \frac{4\sqrt{20}}{(\sqrt{20})^2}=\frac{4\sqrt{20}}{20}=\frac{\sqrt{20}}{5} = \frac{\sqrt{4\times 5}}{5}=\frac{\sqrt{2^2\times 5}}{5} = \frac{\sqrt{2^2}\times \sqrt{5}}{5} = ...?\]

Answer 7

Callisto can i ask you about something about this question when you are done

Answer 8

Yes?!

Answer 9

Wouldn't the sqrt cancel out the exponent?

Answer 10

can i ask other questions while your answering?

Answer 11

@22makayla22 Hmm... when exponent = 2 and there this a sqrt, you can.

Answer 12

*there is

Answer 13

hmmm very confusing

Answer 14

For example
\[\sqrt{3^2} = 3\]

Answer 15

so then would it just be sqrt2?

Answer 16

or 2?

Answer 17

What do you think? @22makayla22

Answer 18

i guess 2?

Answer 19

@Callisto

Answer 20

Yes.
So, what do you get for the answer?

Answer 21

Yes for \(\sqrt{2^2}\) = 2 :|

Answer 22

The easiest way to do this is just write the numerator as the square root of its square. Then divide what's inside the square root and simplify from there\[=\sqrt{\frac{16}{20}}=\sqrt{\frac{4}{5}}= \frac{2}{\sqrt{5}}\]

Answer 23

well I mean the easiest way is just to pull out a 4

Answer 24

either way it should take you two steps

Answer 25

@Callisto 2/srt5 because the top one cancels

Answer 26

@richyw can i simplify it more or is that it?

Answer 27

You don't have to rationalise the answer? @22makayla22

Answer 28

i dont get it

Answer 29

thhank you so much @richyw and @Callisto

Answer 30

4/sprt20=
4/(20^1/2)=
4*1/(20^1/2)=
4*20^-1/2

cant you do it like that?

Answer 31

and @Krabsen ?? thank you

Answer 32

hehe just another way to do it

Answer 33

well you could multiply the top and bottom by \(\sqrt{5}\)\[\frac{2 \sqrt{5}}{5}\]

Answer 34

oh okay i get it thanks @Krabsen

Answer 35

THANK YOU EVERY ONE

Answer 36

I'm not sure.. But when I have to simplify something like that, I have to do the rationalisation too.
That is:
\[\frac{4}{\sqrt{20}} = \frac{4}{2\sqrt{5}} =\frac{2\sqrt5}{5}\]