Question

y= √432 + 2√588- 3√1200 + 15√12
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Answer 1

$\it y = \sqrt{432} + 2 \sqrt{588} - 3 \sqrt{1200} + 15 \sqrt{12} \Longrightarrow \\ \it y = 12 \sqrt{3} + 2 \cdot 14 \sqrt{3} - 3 \cdot 20 \sqrt{3} + 15 \cdot 2 \sqrt{3} \Longrightarrow \\ \it y = 12 \sqrt{3} + 28 \sqrt{3} - 60 \sqrt{3} + 30 \sqrt{3} \Longrightarrow \\ \it y = 40 \sqrt{3} - 60 \sqrt{3} + 30 \sqrt{3} \Longrightarrow \\ \it y = - 20 \sqrt{3} + 30 \sqrt{3} \Longrightarrow \\ \it \boxed{ y = 10 \sqrt{3}}$