Multiplying and Dividing Surds - Questions

Question 1
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Simplify: \(5\sqrt 3 \times 3\sqrt 5 \)

\(15\sqrt {15} \)

Question 2
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Simplify: \(\dfrac{{15\sqrt {10} }}{{10\sqrt {15} }}\)

\(\dfrac{{3\sqrt 2 }}{{2\sqrt 3 }}\)

Question 3
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Simplify: \(\dfrac{{5\sqrt {18} }}{{24\sqrt {175} }}\)

\(\dfrac{{\sqrt 2 }}{{8\sqrt 7 }}\)

Question 4
14558

Simplify: \( - \sqrt {96} \times \left( { - \sqrt {63} } \right)\)

\(12\sqrt {42} \)

Question 5
14559

Simplify : \(\sqrt {{y^3}} \times \sqrt {45x{y^2}} \times \sqrt {80y{x^3}} \)

\(60{x^2}{y^3}\)