Question

$$\sqrt{ 45 \times 15 \times 19 \times 11 { M }^{ 2 } }$$

Answer

15*sqrt(627)*M

Solution


Simplify  \(45\times 15\times 19\times 11{M}^{2}\)  to  \(141075{M}^{2}\).
\[\sqrt{141075{M}^{2}}\]
Use this rule: \(\sqrt{ab}=\sqrt{a}\sqrt{b}\).
\[\sqrt{141075}\sqrt{{M}^{2}}\]
Simplify  \(\sqrt{141075}\)  to  \(15\sqrt{627}\).
\[15\sqrt{627}\sqrt{{M}^{2}}\]
Simplify  \(\sqrt{{M}^{2}}\)  to  \(M\).
\[15\sqrt{627}M\]