Rationalizing the denominator with a square root binomial

The video tutorial explains the process of rationalizing the denominator, starting with the need to eliminate the square root from the denominator by multiplying by the square root itself. However, this alone is insufficient, so the concept of using the conjugate is introduced. By multiplying both the numerator and the denominator by the conjugate, the difference of two squares is achieved, which cancels out the middle terms. The tutorial concludes with the final calculations, demonstrating the complete process of rationalizing the denominator.

What is the first step in rationalizing the denominator according to the text?

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Why can't you divide by a square root when rationalizing the denominator?

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What is the result of multiplying sqrt(5) by itself?

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What is meant by multiplying by the conjugate in the context of rationalizing the denominator?

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Explain the significance of the difference of two squares when rationalizing the denominator.

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