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

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Answer 1 · 2016-01-26T23:29:59

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

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

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

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

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

= 2 $x^2$ $y^3$

Hopefully this helps!

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