The required simplification of the expression is 7u(√35uv).
Given that,
An expression is given,[tex]\sqrt{245u^2v}. \sqrt{7}[/tex]
To simplify the above-given expression.
What is simplification?
The methodology in mathematics to perform and solve the expression to construct the expression, simple or better understanding is called simplifying and the process is called simplification.
Here, the given expression contains square roots, so a perfect square can be drawn out to make the expression simple.
[tex]=\sqrt{245u^3v}*\sqrt7 \\=\sqrt{7*7*5u^3v}*\sqrt7 \\=7u\sqrt{35uv} \\[/tex]
Thus, the required simplification of the expression is 7u(√35uv).
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