Question

Expand ( (√5 + 5√6)²​

Answer 1

Answer:

$5 + 150 + 2 \times \sqrt{5} \times 5 \times 5 \sqrt{6} \\ 155 + 2 \times \sqrt{5} \times 5 \sqrt{6}$

Answer 2

Answer:

5(31 + 2√30)

Step-by-step explanation:

$( \sqrt{5} + 5 \sqrt{6} {)}^{2} \\ = ( \sqrt{5} {)}^{2} + {(5 \sqrt{6}) }^{2} + 2( \sqrt{5} )(5 \sqrt{6} ) \\ = 5 + 150 + 10 \sqrt{30} \\ = 5(31 + 2 \sqrt{30} )$