Question

Can someone please help answer this question :)

Answer 1

I hope this helps you :)

Answer 2

Answer:

4 - $\sqrt{6}$

Step-by-step explanation:

Rationalise the denominator by multiplying the numerator and denominator by the conjugate of the denominator.

the conjugate of 4 + $\sqrt{6}$ is 4 - $\sqrt{6}$ , then

= $\frac{10(4-\sqrt{6}) }{(4+\sqrt{6})(4-\sqrt{6}) }$ ← expand denominator using FOIL

= $\frac{40-10\sqrt{6} }{16-6}$

= $\frac{40-10\sqrt{6} }{10}$ ( divide terms on numerator/ denominator by 10 )

= 4 - $\sqrt{6}$