Can you help me find the next 2 terms in the sequences?

1, .025, .1 repeating, .0625,.04

2root2, 4, 4root3, 8root3, 8root15, 24root10

There's probably a typo in the first one:

1, .25, .1 repeating, .0625,.04...
If that's the case, look at the sequence as follows:

1÷1,1÷4,1÷9,1÷16,1÷25,1÷?....

For the second one, square the number outside and multiply the content of the radical sign, for example:
2√2=√2*4=√8.
Continue for every term of the sequence:

√8, √16, √48, √192, √960, √5760...

Divide each term by the previous and see if you see a trend.