Evaluate
3\sqrt{21}+2\approx 15.747727085
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3\sqrt{21}-\sqrt{64}+\sqrt[3]{10^{3}}
Factor 189=3^{2}\times 21. Rewrite the square root of the product \sqrt{3^{2}\times 21} as the product of square roots \sqrt{3^{2}}\sqrt{21}. Take the square root of 3^{2}.
3\sqrt{21}-8+\sqrt[3]{10^{3}}
Calculate the square root of 64 and get 8.
3\sqrt{21}-8+\sqrt[3]{1000}
Calculate 10 to the power of 3 and get 1000.
3\sqrt{21}-8+10
Calculate \sqrt[3]{1000} and get 10.
3\sqrt{21}+2
Add -8 and 10 to get 2.
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