Question

3√5/5√7,√63/√125 Compare the given pairs of ratio.

Answer 1

they are in descending order

Answer 2

Answer:

$\frac{\sqrt{63}}{\sqrt{125}}>\frac{3\sqrt{5}}{5\sqrt{7}}$

Step-by-step explanation:

In the given question,

We have two ratios,$\frac{3\sqrt{5}}{5\sqrt{7}}$ and $\frac{\sqrt{63}}{\sqrt{125}}$.

Here, we have to compare the two ratios.

For comparing the ratios we have to calculate the value of all the ratios individually.

So, on calculating the value of the ratios we get,

$\frac{3\sqrt{5}}{5\sqrt{7}}=0.507$

And,

The value of another ratio is given by,  

$\frac{\sqrt{63}}{\sqrt{125}}=0.5291$

So,

We can say that the ratio $\frac{\sqrt{63}}{\sqrt{125}}$ is greater than  $\frac{3\sqrt{5}}{5\sqrt{7}}$.

So,

$\frac{\sqrt{63}}{\sqrt{125}}>\frac{3\sqrt{5}}{5\sqrt{7}}$