Solve 1^2+8^2-sqrt{12}1-sqrt{2}

$$1 ^ { 2 } + 8 ^ { 2 } - \sqrt { 12 } 1 - \sqrt { 2 }$$

Evaluate

$$65-\sqrt{2}-2\sqrt{3}\approx 60.121684822$$

Solution Steps

Calculate 1 to the power of 2 and get 1.

$$1+8^{2}-\sqrt{12}-\sqrt{2}$$

Calculate 8 to the power of 2 and get 64.

$$1+64-\sqrt{12}-\sqrt{2}$$

Add 1 and 64 to get 65.

$$65-\sqrt{12}-\sqrt{2}$$

Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.

$$65-2\sqrt{3}-\sqrt{2}$$