Question

Which expression is equivalent to sqrt 900f^6/100g^4

Answer 1

Answer:

3f³/g²

Step-by-step explanation:

√(900f^6/100g^4) =√(9f^6/g^4)=3f³/g²

Answer 2

Answer:

$[3f^{3}g^{-2}]$

Step-by-step explanation:

The given expression is $\sqrt{\frac{900f^{6} }{100g^{4}}}$

We can rewrite the expression as $\sqrt{\frac{(30f^{3})^{2}}{(10g^{2})^{2}}}$

Now we can remove the radical of the expression =  $\frac{30f^{3} }{10g^{2} }$

= $[\frac{3f^{3} }{g^{2}}]$

= $[3f^{3}g^{-2}]$

= $[3f^{3}g^{-2}]$ is the answer.