Multiplying 3/sqrt 17 - sqrt 2 by which fraction will produce an equivalent fraction with a rational denominator

Question asks to rationalize the denominator of the expression. Multiplying to the given expression will rationalize the denominator of the given expression.

The given expression is .

It is required to rationalize the denominator of the given expression.

To rationalize the denominator, multiply and divide the expression by as,

Therefore, multiplying to the given expression will rationalize the denominator of the given expression.

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Given radical expression: .

We need to find the fraction by which fraction will produce an equivalent fraction with a rational denominator.

In the given expression, we have

Which is an irrational number in denominator.

In order to get rid irrational number from denominator and get a rational number in denominator, we need to multiply given expression by conjugate of the denominator.

The conjugate of is .

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step-by-step explanation: