Question

When the denominator of 1/2√5 is rationalized , it becomes√K/10 . Find K​

Answer 1

Step-by-step explanation:

Here the number we have is, 1/2√5.

So lets rationalise it.

Thus we get,

\frac{1}{2\sqrt{5} }

2

5

1

multiplied by, \frac{\sqrt{5} }{\sqrt{5} }

5

5

This will give,

√5/10.

Thus on comparing, We can see that k = 5.

Hope it helps.

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Answer 2

Step-by-step explanation:

Given:

$\frac{1}{2 \sqrt{5} }$

To find: When the denominator of 1/2√5 is rationalized , it becomes√K/10 . Find K.

Solution:

We know that denominator of a rational number can be rationalize by multiplying the rationalization factor in numerator and denominator.

$\frac{1}{2 \sqrt{5} }$

or

$= \frac{ \sqrt{5} }{2 \sqrt{5} \sqrt{5} }$

or

$= \frac{ \sqrt{5} }{2 \times 5}$

or

$\frac{ \sqrt{5} }{10} = \frac{\sqrt{K}}{10}$

on comparison one can easily say that K=5.

Final answer:

K =5

Hope it helps you.

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