How do you simplify #25/sqrt125#?

Answer 1

#5/(sqrt(5)#

#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)#
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Answer 2

#sqrt(5)#

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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Answer 3

To simplify 25/sqrt125, we can simplify the square root of 125 first. The square root of 125 is equal to the square root of 25 times the square root of 5, which simplifies to 5 times the square root of 5. Therefore, 25/sqrt125 simplifies to 25 divided by 5 times the square root of 5, which further simplifies to 5 times the square root of 5.

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Answer 4

To simplify ( \frac{25}{\sqrt{125}} ), first, you can simplify the square root of 125. The square root of 125 is ( \sqrt{125} = \sqrt{25 \times 5} = 5\sqrt{5} ). Then, substitute this value back into the expression:

( \frac{25}{\sqrt{125}} = \frac{25}{5\sqrt{5}} )

Next, simplify the expression by dividing both the numerator and the denominator by 5:

( \frac{25}{5\sqrt{5}} = \frac{25 \div 5}{5\sqrt{5} \div 5} = \frac{5}{\sqrt{5}} )

Thus, ( \frac{25}{\sqrt{125}} ) simplifies to ( \frac{5}{\sqrt{5}} ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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