Question

1. show your work
4√6 / √30

2. simplify, and show your work
(2√5+3√7) ^2

Answer 1

1. by rationalizing the denominator?

2.(2sqrt5 + 3sqrt7) * (2sqrt5 + 3sqrt7)
= 4 * 5 + 6 sqrt35 + 6 sqrt35 + 9 * 7
= 20 + 63 + 12sqrt35
= 83 + 12sqrt35