The simplified form of expression is [tex]10\sqrt{11}[/tex].
What is an expression?
An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.
Given expression
[tex](\sqrt{22})(5\sqrt{2})[/tex]
= [tex](\sqrt{22} )(\sqrt{25}) (\sqrt{2} )[/tex]
The expression is in the form of [tex]\sqrt{x} .\sqrt{y} .\sqrt{z} =\sqrt{x.y.z}[/tex]
= [tex]\sqrt{22.(25).(2)}[/tex]
= [tex]\sqrt{11.(2).(25).(2)}[/tex]
= [tex]\sqrt{11.(100)}[/tex]
= [tex]\sqrt{100} .\sqrt{11}[/tex]
= [tex]10\sqrt{11}[/tex]
The simplified form of expression is [tex]10\sqrt{11}[/tex].
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