Question

To rationalize the denominator of 2/√3+6 , multiply the numerator and denominator by:

a. √3-6
b. √3+6
c. 2(√3-6)
d. 2(√3+6)

Answer 1

To rationalize the denominator of 2/√3+6, you should multiply the numerator and denominator by the conjugate of the denominator, which is √3-6.

Step-by-step explanation:

To rationalize the denominator of 2/√3+6, you should multiply both the numerator and the denominator by the conjugate of the denominator. The conjugate of √3+6 is √3-6. Therefore, the correct choice is a. √3-6.

When multiplying by the conjugate, the denominator becomes (√3+6)(√3-6) which equals 3-36. The purpose of this multiplication is to remove the square root from the denominator, creating a rational number which is easier to work with.