Question

Which expression is equivalent to

Answer 1

Answer:

$\frac{3|f|^3}{g^2}$

Justification

1) given:

$\sqrt{ \frac{900f^6}{100g^4} }$

2) divide 900 by 100

$\sqrt{ \frac{9f^6}{g^4} }$

3) extract 9 from the root => 3

extract f^6 from the root => |f|^3

extract g^4 from the root => g^2

=>

$\frac{3|f|^3}{g^2}$