Respuesta :
Option A. StartRoot StartFraction 2 (2) (3) (3) (a) (a) (a) (a) (a) (a) (a) (a) Over 3 (3) (5) (5) (a) (a) EndFraction EndRoot
Step-by-step explanation:
From all the five options, we need to find the expression which is equivalent to [tex]\sqrt{\frac{36 a^{8}}{225 a^{2}}}[/tex]
Option A: "StartRoot StartFraction 2 (2) (3) (3) (a) (a) (a) (a) (a) (a) (a) (a) Over 3 (3) (5) (5) (a) (a) EndFraction EndRoot" which can be written as
[tex]\sqrt{\frac{2(2)(2)(3)(3)\left(a^{8}\right)}{3(3)(5)(5)\left(a^{2}\right)}}=\sqrt{\frac{36 a^{8}}{225 a^{2}}}[/tex]
Hence, Option A is the correct answer.
Option B: "StartRoot StartFraction 4 a Superscript 6 Baseline Over 25 EndFraction EndRoot" which can be written as
[tex]\sqrt{\frac{4a^{6} }{25} }[/tex] which is not equivalent to [tex]\sqrt{\frac{36 a^{8}}{225 a^{2}}}[/tex]
Hence, Option B is not the correct answer.
Option C: "StartFraction 5 Over 25 EndFraction StartRoot StartFraction a Superscript 8 Over a squared EndFraction EndRoot" which can be written as
[tex]\frac{5}{25} \sqrt \frac{a^{8} }{a^{2} }[/tex] which is not equivalent to [tex]\sqrt{\frac{36 a^{8}}{225 a^{2}}}[/tex]
Hence, Option C is not the correct answer.
Option D: "StartFraction 6 Over 15 EndFraction a Superscript 4" which can be written as
[tex]\frac{6}{15} a^{4}[/tex] which is not equivalent to [tex]\sqrt{\frac{36 a^{8}}{225 a^{2}}}[/tex]
Hence, Option D is not the correct answer.
Option E: "Two-fifths a cubed" which can be written as
[tex]\frac{2}{5} a^{3}[/tex] which is not equivalent to [tex]\sqrt{\frac{36 a^{8}}{225 a^{2}}}[/tex]
Hence, Option E is not the correct answer.
Hence, the correct option is A.
Thus, the expression is equivalent to StartRoot StartFraction 2 (2) (3) (3) (a) (a) (a) (a) (a) (a) (a) (a) Over 3 (3) (5) (5) (a) (a) EndFraction EndRoot.
Answer:
A
B
E
Step-by-step explanation:
I just did the assignment and got it correct
