What is the square root of #144/169#?

2 Answers
Mar 2, 2018

Answer:

#12/13# or #0.923#

Explanation:

We can write this as:

#sqrt(144/169)#

This is the same thing as taking the square root of the numerator and the denominator, then dividing:

#sqrt(144)/sqrt(169)#

Square root of #144=12#
Square root of #169=13#

#=12/13#

In decimals, it is:

#~~0.923#

Thus, we have our answer.

Mar 2, 2018

Answer:

#color (blue)(+-12/13)#

Explanation:

#sqrt(144/169)#

#sqrt ((12^2)/(13^2))#

#color (red)(12/13)#

Or

#sqrt (((-12)^2)/(13^2))#

#color (red)((-12)/13)#

Or

#sqrt ((12^2)/((-13)^2))#

#12/(-13)#

#color (red)((-12)/13)#

Or

#sqrt (((-12)^2)/((-13)^2))#

#(-12)/(-13)#

#color (red)(12/13)#