Is it true that for every a in |R sqrt.(a^2) = a

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[sturdy flax]

yeah it is false

suppose i have a number 4

so now i am asked to find root 4

i will use this idea

rootof 4=root of 2*2

so i can say root 2 *root2 =root 4

so then i say 2=root 4

but now lets try another way

root 4=root -2*-2

root -2*root -2 should be equal to root of 4

so lets do it

[oblique dome]

No, it's false. $\sqrt{a^2} = |a|$.

[lost dune]

mark

[sturdy flax]

wait its a

and not mod a shit

i was proving mod

[sturdy flax]

so i get root2 * root 2 *i^2=root 4

it becomes root 4*i^2=root 4

and we get -root 4 =root 4

which makes no sense

as rhs = equal to lhs