Question

Какое из чисел больше: корень 7 плюс корень 8 или 3 плюс корень 6. Расписать решение подробно, пожалуйста

Answer 1

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Answer 2

Comparing Expressions

To compare which of the following is greater: √7 + √8 or 3 + √6, we can evaluate both expressions.

Evaluating √7 + √8

The value of √7 is approximately 2.646 and the value of √8 is approximately 2.828. Adding these together, we get: √7 + √8 ≈ 2.646 + 2.828 ≈ 5.474.

Evaluating 3 + √6

The value of √6 is approximately 2.449. Adding this to 3, we get: 3 + √6 ≈ 3 + 2.449 ≈ 5.449.

Comparison

Comparing the two results, we find that √7 + √8 ≈ 5.474 is greater than 3 + √6 ≈ 5.449.

Therefore, √7 + √8 is greater than 3 + √6.