Question

$$\left. \begin{array} { l } { 14 \sqrt { 20 } - 8 \sqrt { 20 } - 10 \sqrt { 5 } = } \end{array} \right.$$

Answer

A=(26*sqrt(5)+Wo*r*k*IM*n*g*o*u)/(20.28*sqrt(5))

Solution


Simplify  \(\sqrt{20}\)  to  \(2\sqrt{5}\).
\[A\times 10.14\times 2\sqrt{5}-8\times 2\sqrt{5}-10\sqrt{5}=Work\imath ngou\]
Simplify  \(A\times 10.14\times 2\sqrt{5}\)  to  \((20.28)A\sqrt{5}\).
\[20.28A\sqrt{5}-8\times 2\sqrt{5}-10\sqrt{5}=Work\imath ngou\]
Regroup terms.
\[20.28\sqrt{5}A-8\times 2\sqrt{5}-10\sqrt{5}=Work\imath ngou\]
Simplify  \(8\times 2\sqrt{5}\)  to  \(16\sqrt{5}\).
\[20.28\sqrt{5}A-16\sqrt{5}-10\sqrt{5}=Work\imath ngou\]
Simplify  \(20.28\sqrt{5}A-16\sqrt{5}-10\sqrt{5}\)  to  \(20.28\sqrt{5}A-26\sqrt{5}\).
\[20.28\sqrt{5}A-26\sqrt{5}=Work\imath ngou\]
Add \(26\sqrt{5}\) to both sides.
\[20.28\sqrt{5}A=Work\imath ngou+26\sqrt{5}\]
Regroup terms.
\[20.28\sqrt{5}A=26\sqrt{5}+Work\imath ngou\]
Divide both sides by \(20.28\).
\[\sqrt{5}A=\frac{26\sqrt{5}+Work\imath ngou}{20.28}\]
Divide both sides by \(\sqrt{5}\).
\[A=\frac{\frac{26\sqrt{5}+Work\imath ngou}{20.28}}{\sqrt{5}}\]
Simplify  \(\frac{\frac{26\sqrt{5}+Work\imath ngou}{20.28}}{\sqrt{5}}\)  to  \(\frac{26\sqrt{5}+Work\imath ngou}{20.28\sqrt{5}}\).
\[A=\frac{26\sqrt{5}+Work\imath ngou}{20.28\sqrt{5}}\]