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

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

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Answer 1 · 2016-06-12T12:15:56

$\sqrt{\frac{36}{49}} = \frac{6}{7}$ $sqrt(36/49)=color(green)(6/7)$

Explanation:

In general
$XXX \sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}$ $color(white)("XXX")sqrt(a/b)=sqrt(a)/sqrt(b)$

$\sqrt{36} = 6$ $sqrt(36)=6$

$\sqrt{49} = 7$ $sqrt(49)=7$

So
$XXX \sqrt{\frac{36}{49}} = \frac{\sqrt{36}}{\sqrt{49}} = \frac{6}{7}$ $color(white)("XXX")sqrt(36/49)=sqrt(36)/sqrt(49)=6/7$

Answer 2 · 2016-06-12T12:23:53

Answer is: $\pm \frac{6}{7}$ $+- 6/7$ , see explanation for steps.

Explanation:

Remember, or take a moment to learn, that:

$\sqrt{\frac{x}{y}} = \frac{\sqrt{x}}{\sqrt{y}}$ $sqrt (x/y) = sqrtx / sqrty$

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

$\frac{\sqrt{36}}{\sqrt{49}}$ $sqrt36/sqrt49$

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

$\sqrt{36} = \pm 6$ $sqrt36 = +-6$

and

$\sqrt{49} = \pm 7$ $sqrt49 = +-7$

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

$\pm 6 / \pm 7$ $+-6//+-7$

or

$\pm \frac{6}{7}$ $+- 6/7$

**The $\pm$ $+-$ 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 $6$ $6$ by itself, you get $36$ $36$ . If you multiply $- 6$ $-6$ by itself, you get $36$ $36$ as well. This is why we include the $\pm$ $+-$ symbol, and it is the correct form of writing your answers.

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

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