Write a form of 1 that you can use to rationalize the denominator of the expression $\frac{10}{\sqrt{3}}$10√3 .
Question
Write a form of 1 that you can use to rationalize the denominator of the expression 10√3 .
Solution 1
To rationalize the denominator of the expression , we need to multiply both the numerator and the denominator by the conjugate of the denominator.
The conjugate of is also , because the conjugate of a single term is just itself.
So, we multiply both the numerator and the denominator by to get:
* =
So, the form of 1 that we can use to rationalize the denominator of the expression is .
Solution 2
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 form of 1 we can use is , because , which is a rational number.
So, we multiply the numerator and the denominator by :
So, the rationalized form of is .
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