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Notes
Dividing Square Roots
\(\displaystyle\frac{\sqrt{a}}{\sqrt{m}}= \)\(\sqrt{\frac{a}{m}}\)
Practice Problems
\(\textbf{1)}\) \(\displaystyle\frac{\sqrt{45}}{\sqrt{5}}\)
\(\textbf{2)}\) \(\displaystyle\frac{\sqrt{12}}{\sqrt{3}}\)
\(\textbf{3)}\) \(\displaystyle\frac{\sqrt{32}}{\sqrt{2}}\)
![Link to Youtube Video Solving Question Number 3](https://andymath.com/wp-content/uploads/2020/08/play-video.jpg")
\(\textbf{4)}\) \(\displaystyle\frac{\sqrt{8}}{\sqrt{2}}\)
\(\textbf{5)}\) \(\displaystyle\frac{\sqrt{27}}{\sqrt{3}}\)
\(\textbf{6)}\) \(\displaystyle\frac{\sqrt{75}}{\sqrt{3}}\)
\(\textbf{7)}\) \(\displaystyle\frac{\sqrt{72}}{\sqrt{2}}\)
\(\textbf{8)}\) \(\displaystyle\frac{\sqrt{5}}{\sqrt{5}}\)
\(\textbf{9)}\) \(\displaystyle\frac{\sqrt{18}}{\sqrt{2}}\)
\(\textbf{10)}\) \(\displaystyle\frac{\sqrt{300}}{\sqrt{3}}\)
See Related Pages\(\)
\(\bullet\text{ Simplifying Square Roots}\)
\(\,\,\,\,\,\,\,\,\sqrt{32}=4\sqrt{2}…\)
\(\bullet\text{ Multiplying Square Roots}\)
\(\,\,\,\,\,\,\,\, \sqrt{5} \cdot \sqrt{125} …\)
\(\bullet\text{ Adding and Subtracting Square Roots}\)
\(\,\,\,\,\,\,\,\,3\sqrt{2}-7\sqrt{2}…\)
In Summary…
Dividing square roots is a mathematical operation that involves dividing one square root by another. To divide square roots, we first need to write the division as a fraction with a square root in the numerator and denominator, and then we can simplify the fraction by multiplying the numerator and denominator by the square root of the denominator. After this, simplify further, if possible.
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