How do you simplify #1/sqrt7#?
All you can do is rationalize the denominator.
This is as far as we can simplify. Here are the two rules about rationalizing a denominator:
When a monomial (one term in the denominator): Multiply the numerator and the denominator by the radical in the original expression's denominator
Practice exercises:
- Challenge question:
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To simplify 1/sqrt(7), you can multiply both the numerator and denominator by sqrt(7). This results in sqrt(7)/7.
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To simplify ( \frac{1}{\sqrt{7}} ), you can rationalize the denominator by multiplying the numerator and denominator by ( \sqrt{7} ):
[ \frac{1}{\sqrt{7}} \times \frac{\sqrt{7}}{\sqrt{7}} = \frac{\sqrt{7}}{7} ]
Therefore, ( \frac{1}{\sqrt{7}} ) simplifies to ( \frac{\sqrt{7}}{7} ).
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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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