Evaluate 3 sqrt 2 times sqrt 18 times 5 sqrt 2 - SS3 Mathematics Surd Question
Evaluate \(3\sqrt{2} \times \sqrt{18} \times 5\sqrt{2}\)
A
\(11\sqrt{5}\)
B
\(90\sqrt{2}\)
C
\(15\sqrt{4}\)
D
\(45\sqrt{8}\)
correct option: b
\[3\sqrt{2} \times \sqrt{18} \times 5\sqrt{2} = \ 3\sqrt{2} \times \sqrt{9 \times 2} \times 5\sqrt{2} = \ 3\sqrt{2} \times 3\sqrt{2} \times 5\sqrt{2}\]
\(9 \times \left( \sqrt{2} \right)^{2} \times 5\sqrt{2} = 9 \times 2 \times 5\sqrt{2} = 18 \times 5\sqrt{2} = 90\sqrt{2}\)
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