Question

Divide the surds: √125 ÷ √5​

Answer 1

Given: $\sqrt{125}/\sqrt{5}$

To find: Division

Explanation:

$=\sqrt{125}/\sqrt{5} \\\\=\sqrt{\frac{125}{5} } \\\\=\sqrt{5}\\\\=5$

Answer 2

Given:

$\sqrt{125}$ ÷ $\sqrt{5}$

To find:

To divide the surds $\sqrt{125}$ ÷ $\sqrt{5}$

Step-by-step explanation:

• We will first divide the given terms within the square root bracket.
• Then we will first deduce the term that will be left in the square root bracket.

Solution:

$\sqrt{\frac{125}{5} }$

Now, simplifying the bracket

$\sqrt{\frac{125}{5} }\\\\=\sqrt{25}\\\\=5$

The square root of $25$ is $5$

Hence, the solution for the surd is $5$