Write a form of $1$1 that you can use to rationalize the denominator of the expression $\frac{4}{\sqrt{6}}$4√6 .
Question
Write a form of that you can use to rationalize the denominator of the expression .
Solution
To rationalize the denominator of the expression , we need to multiply both the numerator and the denominator by a form of 1 that will eliminate the square root in the denominator.
The square root of a number can be eliminated by multiplying it by itself. Therefore, we can use as the form of 1 to rationalize the denominator.
However, we can't just multiply the denominator by , we also have to multiply the numerator by to keep the value of the fraction the same. This is because is equivalent to 1.
So, the form of 1 that we can use to rationalize the denominator of the expression is .
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