The simplification of the expression \(\sqrt{7x}(\sqrt{x}-7\sqrt{7})\) is \(x\sqrt7-49\sqrt x\).
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
In order to simplify the given expression, we need to use the exponential property,
\(\sqrt{7x}(\sqrt{x}-7\sqrt{7})\\\\=(\sqrt{7x} \times \sqrt{x})-(\sqrt{7x} \times7\sqrt{7})\\\\=\sqrt{7x \times x} - 7\sqrt{49x}\\\\=x\sqrt7-49\sqrt x\)
Hence, the simplification of the expression \(\sqrt{7x}(\sqrt{x}-7\sqrt{7})\) is \(x\sqrt7-49\sqrt x\).
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