Question

$2 \sqrt{3 \times 5 \sqrt{3} }$
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Answer 1

$2 \sqrt{3 \times 5 \sqrt{3} } = 2 \sqrt{15 \sqrt{3} } = 2 \sqrt{ \sqrt{ {15}^{2} } \times \sqrt{3} } = 2 \sqrt{ \sqrt{15 {}^{2} } \times 3 } = 2 \sqrt{ \sqrt{3 \times {15}^{2} } } = 2 \sqrt[4]{3 \times {15}^{2} } = 2 \sqrt[4]{3 \times 225} = 2 \sqrt[4]{675}$

Answer 2

$2 \sqrt{3 \times 5 \sqrt{3} } = 2 \sqrt{15 \sqrt{3} } = 2 \sqrt{ \sqrt{ {15}^{2} } \times \sqrt{3} } = 2 \sqrt{ \sqrt{15 {}^{2} } \times 3 } = 2 \sqrt{ \sqrt{3 \times {15}^{2} } } = 2 \sqrt[4]{3 \times {15}^{2} } = 2 \sqrt[4]{3 \times 225} = 2 \sqrt[4]{675}$