SOLUTION: simplify: sqrt 4/5 a) 2 sqrt (5) b) 2 sqrt (5) / 5 c) 2 b) sqrt (5)

Algebra ->  Square-cubic-other-roots -> SOLUTION: simplify: sqrt 4/5 a) 2 sqrt (5) b) 2 sqrt (5) / 5 c) 2 b) sqrt (5)      Log On


   

Question 316585: simplify: sqrt 4/5
a) 2 sqrt (5)
b) 2 sqrt (5) / 5
c) 2
b) sqrt (5)
Answer by texttutoring(324) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt(4/5)
=2 / sqrt5

But now you have to 'rationalize the denominator', by multiplying by sqrt(5)/sqrt(5):
2 / sqrt(5) * (sqrt(5)/sqrt(5))

= 2*sqrt(5)/5

The answer is b.