Question

How do you rationalize the denominator and simplify `1/sqrt2`?

Answer 1

`1/sqrt2 = frac{sqrt2}{2}`

Explanation:

Multiply the fraction by another form of the whole number `1`: `sqrt2/sqrt2`

`1/sqrt2 * color(blue)(frac{sqrt2}{sqrt2})`

`= frac{sqrt2}{2}`