Answer:
√3(√6+√15)
= 3**1/2(6**1/2 + 15**1/2)
= 3**1/2 · 6**1/2 + 3**1/2 · 15**1/2
= 18**1/2 + 45**1/2
= (2×9)**1/2 + (5×9)**1/2
= 2**1/2 · 9**1/2 + 5**1/2 · 9**1/2
= 2**1/2 · 3 + 5**1/2 · 3
= 3(√2 + √5)
Step-by-step explanation:
