Answer:
[tex]0.01a^{4} x^{2}[/tex] or [tex]- 0.01a^{4} x^{2}[/tex]
Step-by-step explanation:
Let the monomial is M and M² is given by [tex]0.0001 a^{8} x^{4}[/tex].
Now, we have to find M.
We can rearrange the expression of M² as a square of the monomial.
Hence, [tex]M^{2} = [0.01a^{4}x^{2}]^{2}[/tex]
⇒ [tex]M = 0.01a^{4} x^{2}[/tex] or [tex]M = - 0.01a^{4} x^{2}[/tex].
Therefore, the required monomial is [tex]0.01a^{4} x^{2}[/tex] or [tex]- 0.01a^{4} x^{2}[/tex]
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