4.4721359549995794 - 2√5 \(\stackrel{?}{=}\) 0
2*√5 is the same as √20 so we can say...
4.4721359549995794 - √20 \(\stackrel{?}{=}\) 0
Add √20 to both sides.
4.4721359549995794 \(\stackrel{?}{=}\) √20
Square both sides.
(4.4721359549995794)^2 \(\stackrel{?}{=}\) 20
20.00000000000000006423465417690436 \(\stackrel{?}{=}\) 20
So we can see that it is very close, but not quite completely true.
Here is how I got the result on the last step.
Also, since √20 is a non-terminating decimal, there is no way that a terminating decimal can be equal to it.
4.4721359549995794 - 2√5 \(\stackrel{?}{=}\) 0
2*√5 is the same as √20 so we can say...
4.4721359549995794 - √20 \(\stackrel{?}{=}\) 0
Add √20 to both sides.
4.4721359549995794 \(\stackrel{?}{=}\) √20
Square both sides.
(4.4721359549995794)^2 \(\stackrel{?}{=}\) 20
20.00000000000000006423465417690436 \(\stackrel{?}{=}\) 20
So we can see that it is very close, but not quite completely true.
Here is how I got the result on the last step.
Also, since √20 is a non-terminating decimal, there is no way that a terminating decimal can be equal to it.