14.8k views
4 votes
Simplify the radical expression.

Simplify the radical expression.-example-1

1 Answer

4 votes

To simplify this fraction, multiply the entire fraction by the conjugate of the denominator. The conjugate of a square root and a number being added to it would be the number subtracted from the square root. In other words, the conjugate of
√(a) + b would be
√(a) - b.


Applying that information to our fraction shown here, the conjugate of the denominator would be
√(3) - 4. We will multiply both the numerator and denominator of our original fraction by this expression to obtain our answer, as shown below.



\Big((1)/(√(3) + 4)\Big)\Big((√(3) - 4)/(√(3) - 4)\Big)


(√(3) - 4)/(3 - 16)


(4 - √(3))/(13)


Our answer is
\boxed{(4 - √(3))/(13)}.


User Heinrich Cloete
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories