How do you simplify $\sqrt{5 a} \cdot \sqrt{15 a}$ $sqrt(5a) * sqrt(15a)$ ?

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How do you simplify $\sqrt{5 a} \cdot \sqrt{15 a}$ $sqrt(5a) * sqrt(15a)$ ?

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Answer 1 · 2016-06-04T21:01:02

$\sqrt{5 a} \cdot \sqrt{15 a}$ $sqrt(5a)*sqrt(15a)$ can be also changed to this form $\sqrt{5 a \cdot 15 a}$ $sqrt(5a*15a)$

Now, we have all under one $\sqrt{}$ $sqrt$ . We can multiply $5 a$ $5a$ with $15 a$ $15a$ , which gives us $75 a^{2}$ $75a^2$
We put this under $\sqrt{}$ $sqrt$ and we get $\sqrt{75 a^{2}}$ $sqrt(75a^2)$

This can be changed into

$8.660254 a^{2}$ $8.660254a^2$ $\Rightarrow$ $=>$ $5 \sqrt{3} \cdot a^{2}$ $5sqrt(3)*a^2$

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How do you simplify $\sqrt{5 a} \cdot \sqrt{15 a}$ $sqrt(5a) * sqrt(15a)$ ?

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How do you simplify $\sqrt{5 a} \cdot \sqrt{15 a}$ $sqrt(5a) * sqrt(15a)$ ?