How do you find the square root of 36/49?

2 Answers
Jun 12, 2016

Answer:

#sqrt(36/49)=color(green)(6/7)#

Explanation:

In general
#color(white)("XXX")sqrt(a/b)=sqrt(a)/sqrt(b)#

#sqrt(36)=6#

#sqrt(49)=7#

So
#color(white)("XXX")sqrt(36/49)=sqrt(36)/sqrt(49)=6/7#

Jun 12, 2016

Answer:

Answer is: #+- 6/7#, see explanation for steps.

Explanation:

Remember, or take a moment to learn, that:

#sqrt (x/y) = sqrtx / sqrty #

To find the square root of a fraction, we can simply find the square root of the numerator and denominator:

#sqrt36/sqrt49#

Either by using a calculator or recalling information, we come to find that:

#sqrt36 = +-6#

and

#sqrt49 = +-7#

The simplified answer can be retrieved from this. So, to write this as a fraction:

#+-6//+-7#

or

#+- 6/7#

**The #+-# indicates that a number can be positive or negative, and in this case we use this symbol since the square root of a positive number always has a positive and negative answer. For example, if you multiply #6# by itself, you get #36#. If you multiply #-6# by itself, you get #36# as well. This is why we include the #+-# symbol, and it is the correct form of writing your answers.