Answer:
[tex]10ab^{2}[/tex]
Step-by-step explanation:
Given,
[tex]\sqrt{100a^2b^4}[/tex] = [tex](\sqrt{100}) (\sqrt{a^2})(\sqrt{b^4} )[/tex]
[tex]\sqrt{100} = 10\\\sqrt{a^2} = a\\\sqrt{b^4} = b^2[/tex]
Therefore, [tex]\sqrt{100a^2b^4} = 10ab^2[/tex]
