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Allisa [31]
4 years ago
11

Simplify sqrt 10a x sqrt 30a

Mathematics
1 answer:
jeka57 [31]4 years ago
4 0
\bf \sqrt{10a}\times \sqrt{30a}\implies \sqrt{10a\times 30a}\implies \sqrt{10\cdot 30\cdot a\cdot a}\implies \sqrt{300a^2}
\\\\\\
\begin{cases}
300=2\cdot 2\cdot 3\cdot 5\cdot 5\\
\qquad 2^2\cdot 3\cdot 5^2\\
\qquad (2\cdot 5)^2\cdot 3\\
\qquad 10^2\cdot 3
\end{cases}\implies \sqrt{10^2\cdot 3\cdot a^2}\implies 10a\sqrt{3}
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