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2015-03-19T14:08:25+08:00

This Is a Certified Answer

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\frac{\sqrt{72b^4a^3}}{\sqrt{6a}}
Now since the rules to solve this is to multiply the denominator by itself. Only do this when it has square root.

\frac{\sqrt{432b^4a^4}}{6a}
Solve the square root first
\frac{12b^2a^2\sqrt{3}}{6a}
Divide
=2ab²√3
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2015-03-19T14:46:21+08:00

This Is a Certified Answer

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Hi!\ Jomkish...\ Here's\ the\ solution\ of\ your\ problem... \\ \\ First,\ let's\ fix\ first\ the\ problem\ in\ order\ we\ could \\ understand\ the\ given\ equation... \\ \\ Given\ equation\ is: \\ \\  \frac{ \sqrt{72b^4a^3}}{ \sqrt{6a}} \\ \\ \\ Solution: \\ \\ \frac{ \sqrt{72b^4a^3}}{ \sqrt{6a}}\ \ \cdot  \frac{ \sqrt{6a} }{ \sqrt{6a}}

^{We\ have\ to\ multiply\ the\ given\ equation\ by\ the\ given\ denomiantor} \\  ^{to\ eliminate\ the\ square\ root\ of\ the\ given\ denominator.} \\ \\ So\ you'll\ have\ this: \\ \\  \frac{ \sqrt{432b^4a^4} }{6a} \\ \\ ^{via\ use\ of\ the\ scientific\ calculator,\ we\ could\ solve\ the\ square\ root\ of\ the} \\ ^{numerator...\ So\ here's\ the\ result...} \\ \\  \frac{12b^2a^2 \sqrt{3}}{6a} \\ \\ ^{\ Divide\ it\ easily\ and\ you'll\ get...} \\ \\ \boxed{2ab^2 \sqrt{3}} \\ \\ \\ Hope\ it\ Helps :)

Domini
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