Question

5/2 times square root of 2 over square root of 6. Rationalize denominator.

A) (5√2)/(2√6)
B) (5√6)/(2√2)
C) (5√3)/(2√2)
D) (5√2)/(2√3)

Answer 1

To rationalize the denominator, multiply both the numerator and denominator by the conjugate of the denominator. Multiply (5/2) by (square root of 2)/(square root of 6) to get (5 * square root of 2)/(2 * square root of 3).

Step-by-step explanation:

To rationalize the denominator, we need to eliminate the radical (square root) from the denominator. We can do this by multiplying both the numerator and denominator by the conjugate of the denominator. The conjugate of square root of 6 is square root of 6.

So, multiply both numerator and denominator by square root of 6:

(5/2) * (square root of 2)/(square root of 6) = (5 * square root of 2)/(2 * square root of 6) = (5 * square root of 2)/(2 * square root of 2 * square root of 3) = (5 * square root of 2)/(2 * square root of 3).