How do you simplify #25/sqrt125#?
Let's rewrite the denominator.
Simplify
Rationalise the denominator
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Let's express the denominator as a product:
Then, let's rationalise the denominator:
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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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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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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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