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Rationalize the denominator of 1/9 √5 √6?
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Rationalize the denominator of 1/9 √5 √6?
Introduction:
In mathematics, rationalizing the denominator is the process of eliminating any radical expressions from the denominator of a fraction. It involves manipulating the fraction to make it easier to work with and to simplify any further calculations. In this question, we are asked to rationalize the denominator of the fraction 1/9 √5 √6.

Method:
To rationalize the denominator of a fraction with a radical expression, we need to multiply both the numerator and the denominator of the fraction by the conjugate of the denominator. The conjugate of a radical expression is simply the expression with the opposite sign in the middle.

Step-by-Step Solution:
So, let's follow the below steps to rationalize the denominator of the given fraction:

1. Multiply the numerator and denominator by the conjugate of the denominator:

1/9 √5 √6 * √5/√5

2. Simplify the denominator by multiplying the radicals:

√5 * √6 = √30

3. Simplify the numerator by multiplying:

1 * √5 = √5

4. Rewrite the fraction with the new denominator:

√5/9√30

5. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 3:

√5/3√10

Conclusion:
By following the above method, we have successfully rationalized the denominator of the fraction 1/9 √5 √6 to √5/3√10. Rationalizing the denominator allows us to simplify the expression and make it easier to work with in further calculations.
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Rationalize the denominator of 1/9 √5 √6?
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Rationalize the denominator of 1/9 √5 √6?
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