Question

d) \\((2x\sqrt{3y})(3x\sqrt{6y^3})\\)

\\(6x \cdot 2x\sqrt{6y^3} \cdot 3x\sqrt{3y}\\)

e) \\(3\sqrt{2}(\sqrt{2} + \sqrt{3})\\)

f) \\((3\sqrt{2} - 2\sqrt{5})^2\\)

g) \\((2 + \sqrt{x})(3 - \sqrt{x})\\)

Explanation:

Simplify expression d

$$
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Simplify expression e

$$
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Simplify expression f

$$
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Simplify expression g

$$
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$$

Answer:

Question d

\(18x^2y^2\sqrt{2}\)

Question e

\(6 + 3\sqrt{6}\)

Question f

\(38 - 12\sqrt{10}\)

Question g

\(6 + \sqrt{x} - x\)