Another way of rationalising denominator

I like to rationalise denominators this way:
There’s a \( \sqrt{2}\) in the denominator, so to get rid of that, we need a \( \sqrt{2}\) in the numerator.
Luckily, \(10\) is made of \( \sqrt{2} \times 5 \sqrt{2}\).
Cancellong out the two \( \sqrt{2}\)‘s in the numerator and the denominator, we get \(5 \sqrt{2}\).

@rz923 That's a smart way.

@amusingmarmoset
Thx