After the simplification of the given radial expression [tex]\sqrt{\frac{64}{16}(\frac{y^{10} }{y^{12} } )\frac{h^{5} }{h^{5} } }[/tex] we get [tex]\frac{2}{y}[/tex].
What is radical expression?
A radical expression is defined as any expression containing a radical ([tex]\sqrt{}[/tex]) symbol.
The term underneath the radical symbol is called the radicand.
How to solve radical expression?
To solve a radical expression, simply take the the square root of the radicand.
According to the given question, we have a radical expression
[tex]\sqrt{\frac{64y^{10}h^{5} }{16y^{12} h^{5} } }[/tex]
=[tex]\sqrt{\frac{64}{16}(\frac{y^{10} }{y^{12} } )\frac{h^{5} }{h^{5} } }[/tex] ([tex]\frac{x^{m} }{x^{n} } =x^{m-n}[/tex])
= [tex]\sqrt{4(\frac{1}{y^{2} })(1) }[/tex]
= [tex]\sqrt{\frac{4}{y^{2} } }[/tex]
= [tex]\frac{2}{y}[/tex]
Learn more about the radial expression here:
https://brainly.com/question/14671869
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