Question

When the denominato a6 six motionalized,
it becomes Vk findk.
(
2.
5.
1o​

Answer 1

To Find :

• value of k

Solution:

when denominator of 1/2√5 is rationalized, it becomes √k/10

Rationalising the Denominator :

›› 1/2√5

Multiplying the numerator and denominator by 2√5 we get,

›› (1/2√5) × (2√5/2√5 )

›› 2√5/4 × 5

›› 2√5/20

It is given in the Question that we rationalize the denominator it becomes √k/10 ,so

›› 2√5/20 = √k/10

›› 10 × (2√5) = √k × 20

›› 20√5 = 20√k

›› 20√5/20 = √k

›› √5 = √k

⠀⠀⠀⠀Squaring on both sides we get,

⠀⠀K = 5

Hence

• Value of k is 5

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