Answer:
[tex]\text{The simplest form is }6\sqrt6a^5b^3[/tex]
Step-by-step explanation:
Given the expression [tex]3sqrt(24a^{10}b^6)[/tex].
we have to find the simplest form of the expression.
[tex]3sqrt(24a^{10}b^6)[/tex]
=[tex]3(24^{\frac{1}{2}}a^{\frac{10}{2}}b^{\frac{6}{2}})[/tex]
=[tex]3(24^{\frac{1}{2}}a^5b^3)[/tex]
=[tex]6\sqrt6a^5b^3[/tex]
which is the simplest form of the given expression.
