Question

$$\sqrt{ -5+5 \times 6-2(-9+28-4)- { 1 }^{ 8 } }$$

Answer

sqrt(6)*IM

Solution


Simplify  \(-9+28\)  to  \(19\).
\[\sqrt{-5+5\times 6-2(19-4)-{1}^{8}}\]
Simplify  \(19-4\)  to  \(15\).
\[\sqrt{-5+5\times 6-2\times 15-{1}^{8}}\]
Simplify  \({1}^{8}\)  to  \(1\).
\[\sqrt{-5+5\times 6-2\times 15-1}\]
Simplify  \(5\times 6\)  to  \(30\).
\[\sqrt{-5+30-2\times 15-1}\]
Simplify  \(2\times 15\)  to  \(30\).
\[\sqrt{-5+30-30-1}\]
Simplify  \(-5+30\)  to  \(25\).
\[\sqrt{25-30-1}\]
Simplify  \(25-30\)  to  \(-5\).
\[\sqrt{-5-1}\]
Simplify  \(-5-1\)  to  \(-6\).
\[\sqrt{-6}\]
Simplify.
\[\sqrt{6}\imath \]