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

2 Answers
Alan P. ยท Stefan V.
Jun 12, 2016

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

Acquaintance
Jun 12, 2016

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.

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