Rationalizing Denominators Math Example 3

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Example 3

easy
Rationalize 27\frac{2}{\sqrt{7}}.

Solution

  1. 1
    27⋅77=277\frac{2}{\sqrt{7}} \cdot \frac{\sqrt{7}}{\sqrt{7}} = \frac{2\sqrt{7}}{7}.
  2. 2
    The denominator is now rational.

Answer

277\frac{2\sqrt{7}}{7}
For a monomial radical denominator, multiplying by nn\frac{\sqrt{n}}{\sqrt{n}} creates n⋅n=n\sqrt{n} \cdot \sqrt{n} = n in the denominator, eliminating the radical.

About Rationalizing Denominators

The process of eliminating radical expressions from the denominator of a fraction by multiplying the numerator and denominator by an appropriate expression (the radical itself or its conjugate).

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More Rationalizing Denominators Examples

Example 1 easy

Rationalize the denominator of [formula].

Example 2 hard

Rationalize [formula].

Example 4 medium

Rationalize [formula].

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