How to rationalize this radical
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How to rationalize this radical

[From: ] [author: ] [Date: 12-01-09] [Hit: ]
......
(5)/(2√5)

My text book says the answer is √5/2.
But how do you get that?
I need steps please.
and thank you

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Multiply by (radical 5/ radical 5) to get (5 radical 5/ 10) and,simplify to (radical 5/ 2)

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Multiply both numerator and denominator by √5

5 / (2√5)

= 5√5 / (2√5√5)

= 5√5 / (2*5)

= √5 / 2

Mαthmφm

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If you multiply by √5 / √5, as follows

(5)/(2*√5) * (√5 / √5) = 5 * √5 / 2 * √5 * √5 = 5√5 / 2 * 5 = √5 / 2
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