What is the simplest form of 3sqrt 27a 3b 7

Asked by maham237 @ 28/05/2021 in Mathematics viewed by 263 People

Answered by maham237 @ 28/05/2021

$\bf \sqrt[3]{27a^3b^7}\quad 
\begin{cases}
27=3\cdot 3\cdot 3\\
\qquad 3^3\\
b^7=b^{3+3+1}\\
\qquad b^3b^3b^1\\
\qquad (b^2)^3b^1
\end{cases}\implies \sqrt[3]{3^3a^3(b^2)^3b^1}
\\\\\\
3ab^2\sqrt[3]{b^1}\implies 3ab^2\sqrt[3]{b}$

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