Question

Which expression is equivalent to square root of 2 divided by 3 square root 2

Answer 1

1/3

Explanation:

√2 / 3√2

[√2 /3√2] x [3√2 / 3√2]

(3x2) / (9x2)

6/18 = 1/3

Answer 2

`\large\boxed{\sqrt2:3\sqrt2=(1)/(3)}`

Explanation:

`\sqrt2:3\sqrt2=(\sqrt2)/(3\sqrt2)\qquad\text{cancel}\ \sqrt2\\\\=(\sqrt2\!\!\!\!\!\diagup^1)/(3\sqrt2\!\!\!\!\!\diagup_1)=(1)/(3)`