Question

How can a line segment be divided in the

ratio √5 : 1/√5​

Answer 1

Step-by-step explanation:

yes we can divide the line segment in root5 : 1/ root5

we can write as root5:1/root5 as root5 × root5 : 1/ root5 × root5

we get 5:1

so we divide the line in 5:1

Answer 2

Answer:

The line segment divided the ratio is 5 : 1.

Step-by-step explanation:

Given the ratio is √5 : $\frac{1}{\sqrt{5} }$

Let us assume that AP = √5

and PB = $\frac{1}{\sqrt{5} }$

Now AP : PB = √5 : $\frac{1}{\sqrt{5} }$

⇒$\frac{AP}{PB} =\frac{\sqrt{5} }{\frac{1}{\sqrt{5} } }$

⇒$\frac{AP}{PB} = \frac{\sqrt{5}\sqrt{5} }{1}$

⇒$\frac{AP}{PB} = \frac{5}{1}$                (∵ √5×√5 = 1)

∴ AP : PB = 5 : 1

Therefore, the line segment divided the ratio is 5 : 1.