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\sqrt{100-4^{2}}
Calculate 10 to the power of 2 and get 100.
\sqrt{100-16}
Calculate 4 to the power of 2 and get 16.
\sqrt{84}
Subtract 16 from 100 to get 84.
2\sqrt{21}
Factor 84=2^{2}\times 21. Rewrite the square root of the product \sqrt{2^{2}\times 21} as the product of square roots \sqrt{2^{2}}\sqrt{21}. Take the square root of 2^{2}.