Question

Rationalise the denominator
3 ÷ √(2)

Answer 1

(3 * √(2)) / 2

Explanation:

To rationalize the denominator of the expression 3 ÷ √(2), you can multiply both the numerator and the denominator by the conjugate of the denominator. The conjugate of √(2) is √(2), which means you multiply by √(2) on both the top and bottom to rationalize the denominator:

(3 ÷ √(2)) * (√(2) / √(2))

Now, you can simplify the expression:

(3 * √(2)) / (2)

So, the rationalized form of 3 ÷ √(2) is:

(3 * √(2)) / 2