Rationalize the denominator (√2+√5)/(√3-√7).

Question

Rationalize the denominator (√2+√5)/(√3-√7).

I got this as the answer, - (√2+√5)(√3+√7)/(4).

Is this correct or do I have to multiply it using the foil method and get this? -(√6+√14+√15+√35))/(4).

So is either answer okay and can I stick with my first answer?

Answer 1

Work the problem again by rationalizing the denominator by multiplying by{ √3 + √7}{√3-√7} = 10