simplify by rationalizing the denominator: 18
``√6````
18/sqrt6 = 18sqrt6 / sqrt6*sqrt6 =
18sqrt6 / 6 = 3sqrt6.
Rationlise tge denominator of 18/√6
To simplify the expression by rationalizing the denominator, you need to eliminate the square root in the denominator.
To do this, you can multiply both the numerator and the denominator by the conjugate of the denominator. The conjugate of √6 is also √6.
So, multiply both the numerator and denominator by √6:
18 * √6 / (√6 * √6) = 18√6 / 6 = 3√6
Therefore, the expression is simplified to 3√6.
To simplify by rationalizing the denominator, you need to remove any radical expressions from the denominator.
In this case, the denominator is √6. To rationalize the denominator, you need to multiply both the numerator and denominator by the conjugate of the denominator.
The conjugate of √6 is √6. By multiplying the numerator and denominator by √6, we can eliminate the radical from the denominator.
So, the simplification process would be as follows:
(18) / (√6) * (√6) / (√6)
Simplifying further:
= (18√6) / (6)
Now, you can simplify the expression 18√6 divided by 6:
= 3√6
Therefore, the simplified expression after rationalizing the denominator is 3√6.