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\sqrt{4-4\times 1\left(-8\right)}
Calculate 2 to the power of 2 and get 4.
\sqrt{4-4\left(-8\right)}
Multiply 4 and 1 to get 4.
\sqrt{4-\left(-32\right)}
Multiply 4 and -8 to get -32.
\sqrt{4+32}
The opposite of -32 is 32.
\sqrt{36}
Add 4 and 32 to get 36.
6
Calculate the square root of 36 and get 6.