How do you simplify 5/ square root of 6?

1 Answer
Shantelle
Jun 20, 2018

#=(5sqrt6)/6# (rationalized denominator)
or
#~~2.04# (decimal form, rounded to nearest hundredth's place)

Explanation:

First, let's translate this into math:

#5/sqrt6#

To simplify this, we need to rationalize, or simplify the denominator so that it only contains rational numbers. To do so, multiply both the numerator and denominator by #color(blue)sqrt6#:
#5/sqrt6 color(blue)(*sqrt6/sqrt6)#

#=(5sqrt6)/sqrt36#

#=(5sqrt6)/6#

The answer in decimal form (rounded to nearest hundredth's place) is #~~2.04#.

Hope this helps!

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