What is the square root of 144/169?

2 Answers
Advik S.
Mar 2, 2018

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.

Chirag Mehta
Mar 2, 2018

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)

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