Question

Какое из чисел больше 1) √2007+√2009 или 2√2008 2) 1+√2:1-√2 или 2√2-3 Срочно пожалуйста.

Answer 1

Comparison of Numbers

To determine which of the given numbers is greater, let's evaluate each expression:

1) √2007 + √2009 vs 2√2008 2) 1 + √2:1 - √2 vs 2√2 - 3

Let's evaluate each expression step by step.

Expression 1: √2007 + √2009 vs 2√2008

To compare these expressions, we need to calculate the values of each expression.

1) √2007 + √2009: - The square root of 2007 is approximately 44.785. - The square root of 2009 is approximately 44.821. - Adding these values, we get approximately 89.606.

2) 2√2008: - The square root of 2008 is approximately 44.821. - Multiplying this value by 2, we get approximately 89.642.

Comparing the two values, we can see that 2√2008 is slightly greater than √2007 + √2009.

Expression 2: 1 + √2:1 - √2 vs 2√2 - 3

To compare these expressions, we need to calculate the values of each expression.

1) 1 + √2:1 - √2: - The square root of 2 is approximately 1.414. - Dividing 1 by 1.414, we get approximately 0.707. - Subtracting the square root of 2 (1.414) from 0.707, we get approximately -0.707. - Adding 1 to -0.707, we get approximately 0.293.

2) 2√2 - 3: - The square root of 2 is approximately 1.414. - Multiplying this value by 2, we get approximately 2.828. - Subtracting 3 from 2.828, we get approximately -0.172.

Comparing the two values, we can see that 1 + √2:1 - √2 is greater than 2√2 - 3.

To summarize the comparisons:

1) √2007 + √2009 is slightly less than 2√2008. 2) 1 + √2:1 - √2 is greater than 2√2 - 3.

Please note that the calculations provided are approximate values and may vary slightly depending on the level of precision used.