7(√6/32)

I did:

7(√6/32) * (√32/√32)

7(√192/32)

...but then what?

192 = 3*64, so √192 = 8√3

7/32 √192 = 7/32 * 8√3 = 7/4 √3
or, 7√3 / 4

be careful. It's not always clear whether

√6/32 means √6 / 32 or √(6/32)

If in doubt, use parentheses