Prove that √3 ber. please dont spam

1.	Prove that √3 ber. please dont spam
Answer» Answer: If possible , let 3 be a rational number and its simplest form be b a then, a and b are integers having no COMMON factor other than 1 and b  =0. Now, 3 ⟹3= b. a 2 2 (On squaring both sides ) or, 3b 2 =a 2 .......(i)⟹3 DIVIDES a 2 (∵3 divides 3b 2 )⟹3 divides a Let a=3c for some integer c Putting a=3c in (i), we get or, 3b 2 =9c2 ⟹b 2 =3c 2⟹3 divides b 2 (∵3 divides 3c 2 )⟹3 divides a Explanation: *Hope it's helpful to you but* *don't* *know* it is right *answer* or no..

Answer»

Answer:

If possible , let

be a rational number and its simplest form be

then, a and b are integers having no COMMON factor

other than 1 and b



=0.

Now,

⟹3=

b. a

2 2

(On squaring both sides )

or, 3b 2 =a 2 .......(i)⟹3 DIVIDES a 2

(∵3 divides 3b 2 )⟹3 divides a

Let a=3c for some integer c

Putting a=3c in (i), we get

or, 3b 2 =9c2 ⟹b 2 =3c 2⟹3 divides b 2

(∵3 divides 3c 2 )⟹3 divides a

Explanation:

Hope it's helpful to you

but don't know it is right answer or no..

Discussion