Question

How do you simplify `sqrt (24x^6y^7)/sqrt (6x^2y)`?

Answer 1

The rule `sqrtm/sqrtn` = `sqrt(m/n)` would apply to this problem

Explanation:

= `(sqrt(24x^6y^7))/sqrt(6x^2y)`

= `sqrt((24x^6y^7)/(6x^2y))`

When dividing variables with exponents you subtract the exponents with equal bases.

= `sqrt(4x^4y^6)`

= 2`x^2` `y^3`

Hopefully this helps!