Solve 10^92-sqrt{92}

$${ 10 }^{ 92 } - \sqrt{ 92 }$$

Evaluate

$$100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-2\sqrt{23}\approx 10^{92}$$

Solution Steps

Calculate 10 to the power of 92 and get 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-\sqrt{92}$$

Factor 92=2^{2}\times 23. Rewrite the square root of the product \sqrt{2^{2}\times 23} as the product of square roots \sqrt{2^{2}}\sqrt{23}. Take the square root of 2^{2}.

$$100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-2\sqrt{23}$$