Question

2. Расположите в порядке возрастания числа √21; 2√5; 3√10

Answer 1

To arrange the numbers √21, 2√5, and 3√10 in ascending order, we need to simplify the expressions and compare their values.

Step-by-step explanation:

To arrange the numbers in ascending order, we need to compare their values. Let's simplify the square root expressions first:

√21 = √(3 * 7) = √3 * √7 = √3 * √7
2√5 = 2√(5) = 2√5
3√10 = 3√(2 * 5) = 3 * √2 * √5 = 3√2 * √5

Now, we can compare the expressions:

1. √3 * √7
2. 2√5
3. 3√2 * √5

Therefore, the numbers in ascending order are √3 * √7, 2√5, 3√2 * √5.

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