Question

Need help solving problem number 41

Answer 1

Ok rmemeber
√(a/b)=(√a)/(√b)
and
√ab=(√a)(√b)
and
(a^m)/(a^n)=a^(m-n)
so

ignore 11 for now, we will get to that at end

$\sqrt{ \frac{49a^{5}}{4a^{3}}}$=
$\frac{\sqrt{49a^{5})}{\sqrt{4a^{3}}}$=
$\frac{(\sqrt{49})(\sqrt{a^{5}})}{(\sqrt{4)(\sqrt{a^{3}}}$=
$\frac{(7)(a^{2} \sqrt{a}) }{(2)(a \sqrt{a}) }$=
$\frac{7a^{2} \sqrt{a} }{2a \sqrt{a} }$=
$\frac{7a}{2}$