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\left(0.16-4\left(-0.22\right)\left(12.8-119\right)\right)^{\frac{1}{2}}
Calculate 0.4 to the power of 2 and get 0.16.
\left(0.16-\left(-0.88\left(12.8-119\right)\right)\right)^{\frac{1}{2}}
Multiply 4 and -0.22 to get -0.88.
\left(0.16-\left(-0.88\left(-106.2\right)\right)\right)^{\frac{1}{2}}
Subtract 119 from 12.8 to get -106.2.
\left(0.16-93.456\right)^{\frac{1}{2}}
Multiply -0.88 and -106.2 to get 93.456.
\left(-93.296\right)^{\frac{1}{2}}
Subtract 93.456 from 0.16 to get -93.296.