Question

Who can prove this simply?
2x2 = 4

Answer 1

:D

Answer 2

2+2=4

Answer 3

\[2^2\] <--- simplified

Answer 4

but I think 2^2 = 8 and 2x2 = 8!!!
prove that i'm wrong...

Answer 5

2 squared is 2x2...

Answer 6

ok,it's good :)
anybody else can prove it?

Answer 7

If we assume that 2+2 = 4 and that x*2 = x+x then 2*2=4.

Answer 8

By definition of multiplication \(\color{purple}{a} \times \color{Red}{b}\) is, the quantity \(\color{Red}{b}\) taken \(\color{purple}{a}\) times
\(\color{purple}{a} \times \color{Red}{b} = \color{Red}{b} + \color{Red}{b} + ..... \color{purple}{a}\) times


By definition of multiplication \(\color{purple}{2} \times \color{Red}{2}\) is, the quantity \(\color{Red}{2}\) taken \(\color{purple}{2}\) times
\( \color{purple}{2} \times \color{Red}{2} = \color{Red}{2} + \color{Red}{2} + ..... \color{purple}{2}\) times

Answer 9

oh that just 2 + 2
which is 4

Answer 10

so 2x2 = 2 + 2 + .... 2 times = 4

Answer 11

yes @plitter and @ganeshie8 proved it very simply :)

Answer 12

@paigeRG , your work was great too :)

Answer 13

Yaaaayyy! :D

Answer 14

:)

Answer 15

but i had another way to prove it...
how about using "Proof by contradiction" ?

Answer 16

oh you're not going to ask why 2+2 = 4... :)

Answer 17

we can try...

Answer 18

Let's assume that 2*2 is not 4 then 2+2 is not 4 either. Which it is! Thus 2*2 has to be 4. QED!