How do you simplify 5/sqrt55√5?

2 Answers
Vrishin K.
Apr 12, 2017

sqrt(5)√5

Explanation:

Whenever you have a surd as the denominator, we rationalise it, meaning we multiply it and the numerator (because multiplying any number by 1 doesn't change it) by itself to get a 'normal' number on the bottom. So in this case we would do

5/sqrt(5) xx sqrt(5)/sqrt(5) = (5sqrt(5))/55√5×√5√5=5√55

*notice how sqrt(5)/sqrt(5)=1√5√5=1 so by multiplying 5/sqrt(5)5√5 we are to changing it *

Then we would simplify (5sqrt(5))/55√55 to get (1sqrt(5))/11√51 which equals to sqrt(5)√5

Veddesh phiϕ
Apr 13, 2017

sqrt5√5

Explanation:

color(blue)(5/sqrt(5)5√5

We need to simplify this.The first thing we need to know is that, we need to rationalize the denominator.

So, multiply the denominator and numerator with sqrt5√5

rarr5/sqrt5*sqrt5/sqrt5→5√5⋅√5√5

rarr(5sqrt5)/5→5√55

rarr(cancel5sqrt5)/cancel5

color(green)(rArrsqrt5

Hope this helps... :)

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