# 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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