simplify:

sqrt ((7)/(100))

my work:

7 = 1sqrt (7)
100= 10 sqrt (1)

(1)/(10) sqrt (7)

my answer:

(sqrt (7))/(10)

Your answer is right but your statements:

7 = 1sqrt (7)
100= 10 sqrt (1)

make no sense.
how can sqrt(7)=7 ? you are saying 2.6457..=7

and 10sqrt(1) = 100 ---> 10 x 1 = 100 ??

I would write:

sqrt(7/100)
=sqrt(7) / sqrt(100)
= sqrt(7) / 10

To simplify the expression sqrt(7/100), you can follow these steps:

1. First, simplify the numerator by taking the square root of 7. Since the square root of 7 cannot be simplified further, it remains as sqrt(7).

2. Then, simplify the denominator by taking the square root of 100. The square root of 100 is 10.

3. Finally, rewrite the simplified numerator over the simplified denominator: sqrt(7) / 10.

Therefore, your answer of (sqrt(7))/10 is correct.