Answer:
1)
√50
50=2·5²
The 5s can be taken out to get 5√2
2)
√24
24=2³·3
Two 2s can be taken out to get 2√6
3)
√192
192=2⁶·3
We can take the 2s out to get 8√3
4)
√169
169=13²
The 13s can be taken out to get 13
5)
√147
147=3·7²
The 7s can be taken out to get 7√3
6)
√(13/49)
√13/√49
13 is prime, 49=7²
(√13)/7
7)
√(6/27)
√6/√27
6=2·3 and 27=3³
Two 3s can be taken out to get √6/3√3
√6 can be rewritten as √2·√3
In (√2·√3)/3√3 the √3s cancel leaving √2/3
8)
3/√6
In fractions you can multiply and divide by x/x
In this case, x=√6
3√6/(√6·√6)
3√6/6
6=3·2 and the 3s cancel out leaving √6/2