Question

Can you help me out and simplify?

Answer 1

= 1/3 * sqrt(1/2)

Explanation:

sqrt(1/18)

We know that sqrt(a/b) = sqrt(a)/sqrt(b)

sqrt(1/18)

sqrt(1)/sqrt(18)

1/sqrt(18)

We also know that sqrt(ab) = sqrt(a) sqrt(b)

1/sqrt(18) = 1/ sqrt(9)sqrt(2)

= 1/(3sqrt(2))

= 1/3 * 1/ sqrt(2)

We know that sqrt(a/b) = sqrt(a)/sqrt(b)

= 1/3 * sqrt(1/2)