The simplified form of the given expression [tex]\sqrt{5} (\sqrt{10} +\sqrt{2} )[/tex] will be [tex]5\sqrt{2} + \sqrt{10}[/tex].
What is a perfect square?
A perfect square is a number system that can be expressed as the
square of a given number from the same system.
The given expression is as follows;
[tex]\sqrt{5} (\sqrt{10} +\sqrt{2} )\\\\\sqrt{5} \times \sqrt{10} +\sqrt{5} \times\sqrt{2} \\\\\sqrt{25 \times 2} +\sqrt{10}\\\\5\sqrt{2} +\sqrt{10}[/tex]
Hence, the simplified form of the given expression is [tex]5\sqrt{2} + \sqrt{10}[/tex].
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