simplify: sqrt 2/7

a) sqrt (7)
b) 2
c) sqrt (2)
d) sqrt (14) / 7

√2/7 cannot be simplified, so none of the answers fit.

Unless you meant √(2/7)
which would be
√2/√7
=√2/√7 * √7/√7
= √14/7 which would be d)

thanks reiny

To simplify the expression √(2/7), you need to rationalize the denominator. Here's how you can do it:

1. Start with the expression √(2/7).
2. To rationalize the denominator (7), multiply both the numerator and denominator by √(7). This will eliminate the radical sign from the denominator.
√(2/7) * √(7/7) = √(14)/√(49)
3. Simplify the resulting expression.
√(14)/√(49) = √(14)/7

So, the simplified form of √(2/7) is √(14)/7. Therefore, the correct option is (d) √(14)/7.