Solve sqrt[3]{-8}+sqrt[3]{27}+sqrt[3]{-64}+sqrt[3]{16}-sqrt{49}+sqrt{10000}

$$\sqrt[ 3 ] { - 8 } + \sqrt[ 3 ] { 27 } + \sqrt[ 3 ] { - 64 } + \sqrt[ 3 ] { 16 } - \sqrt { 49 } + \sqrt { 10000 }$$

Evaluate

$$2^{\frac{4}{3}}+90\approx 92.5198421$$

Solution Steps

Calculate \sqrt[3]{-8} and get -2.

$$-2+\sqrt[3]{27}+\sqrt[3]{-64}+\sqrt[3]{16}-\sqrt{49}+\sqrt{10000}$$

Calculate \sqrt[3]{27} and get 3.

$$-2+3+\sqrt[3]{-64}+\sqrt[3]{16}-\sqrt{49}+\sqrt{10000}$$

Add -2 and 3 to get 1.

$$1+\sqrt[3]{-64}+\sqrt[3]{16}-\sqrt{49}+\sqrt{10000}$$

Calculate \sqrt[3]{-64} and get -4.

$$1-4+\sqrt[3]{16}-\sqrt{49}+\sqrt{10000}$$

Subtract 4 from 1 to get -3.

$$-3+\sqrt[3]{16}-\sqrt{49}+\sqrt{10000}$$

Calculate the square root of 49 and get 7.

$$-3+\sqrt[3]{16}-7+\sqrt{10000}$$

Subtract 7 from -3 to get -10.

$$-10+\sqrt[3]{16}+\sqrt{10000}$$

Calculate the square root of 10000 and get 100.

$$-10+\sqrt[3]{16}+100$$

Add -10 and 100 to get 90.

$$90+\sqrt[3]{16}$$