Final answer:
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:
- √3 * √7
- 2√5
- 3√2 * √5
Therefore, the numbers in ascending order are √3 * √7, 2√5, 3√2 * √5.
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