How do you simplify #2/sqrt(5)# ?

2 Answers
William Woods
Apr 18, 2018

#sqrt(4/5)#

Explanation:

Just turn two into the square root of four so you go from this:

#2/sqrt5#

to this:

#sqrt4/sqrt5#

Now you can put the square root infornt of them to get:

#sqrt(4/5)#

And that is pretty much it.

Jim G.
Apr 18, 2018

#(2sqrt5)/5=2/5sqrt5#

Explanation:

#color(blue)"rationalise the denominator"#

#"that is remove the radical from the denominator"#

#"This is done by multiplying numerator/denominator"#
#"by the radical on the denominator"#

#"note that "sqrtaxxsqrta=a#

#rArr2/sqrt5xxsqrt5/sqrt5=(2sqrt5)/5=2/5sqrt5#

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