How do you simplify 25/sqrt125?

2 Answers
JS
May 30, 2017

5/(sqrt(5)

Explanation:

25/sqrt(125)

Let's rewrite the denominator.

25/((sqrt(25))(sqrt(5)))

Simplify

25/(5(sqrt(5)))

5/(sqrt(5)

Rationalise the denominator

= frac(5)(sqrt(5)) cdot frac(sqrt(5))(sqrt(5))

= frac(5 sqrt(5))(5)

= sqrt(5)

Tazwar Sikder
May 30, 2017

sqrt(5)

Explanation:

We have: frac(25)(sqrt(125))

Let's express the denominator as a product:

= frac(25)(sqrt(5^(2) cdot 5))

= frac(25)(5 sqrt(5))

= frac(5)(sqrt(5))

Then, let's rationalise the denominator:

= frac(5)(sqrt(5)) cdot frac(sqrt(5))(sqrt(5))

= frac(5 sqrt(5))(5)

= sqrt(5)

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