How do you simplify #sqrt(1.6)#?

1 Answer
May 28, 2018

Answer:

#sqrt1.6=1.26491...# or #4/sqrt10#

Explanation:

Simplify:

#sqrt1.6#

Using a calculator, #sqrt1.6=1.26491....#, which is an irrational number.

To get the exact square root of #1.6#, do the following:

Convert #1.6# to fraction form.

#sqrt(16/10)#

Apply rule: #sqrt(a/b)=sqrta/sqrtb#, if #b!=0#

#sqrt16/sqrt10#

Simplify #sqrt16# to #4#.

#4/sqrt10#