Question

How do you rewrite with rational exponents: `sqrt2`?

Answer 1

`sqrt(2) = 2^(1/2)`

Explanation:

Note that if `x > 0` then `x^a x^b = x^(a+b)`

So we find `(2^(1/2))^2 = 2^(1/2) * 2^(1/2) = 2^(1/2+1/2) = 2^1 = 2`

So `2^(1/2)` is a square root of `2` since if you square it you get `2`.