Rationalize the denominator.Then simplify your answer.

A)
B)
C)
D)

Question

Rationalize the denominator.Then simplify your answer. ​
​  ​
A)​ 
B)​ 
C)​ 
D)​

Quizplus · Accepted Answer

To rationalize the denominator, we need to multiply the numerator and denominator by the conjugate of the denominator, which is 11eacce6_221a_d746_9f49_8399ac3f2ca2_TB7896_11. This gives us:
(11eacce6_221a_b033_9f49_9109a078b236_TB7896_11) / (11eacce6_221a_d746_9f49_8399ac3f2ca2_TB7896_11 * 11eacce6_221a_b033_9f49_9109a078b236_TB7896_11)
Simplifying the denominator, we get:
11eacce6_221a_d746_9f49_8399ac3f2ca2_TB7896_11 * 11eacce6_221a_b033_9f49_9109a078b236_TB7896_11 = 11eacce6_221a_d747_9f49_252e8a775a5b_FE7881076BC3
So the final simplified fraction is:
11eacce6_221a_b033_9f49_9109a078b236_TB7896_11 / 11eacce6_221a_d747_9f49_252e8a775a5b_FE7881076BC3
which corresponds to choice C.

Rationalize the Denominator.Then Simplify Your Answer. ​

Rationalize the Denominator.Then Simplify Your Answer.