Estimating Square Roots of Nonsquare Numbers Review

Given that the first ten squares are 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100, which two is 77 between?

• 25 and 36
• 64 and 81
• 36 and 49
• 49 and 64

Since 8 squared is 64 and 9 squared is 81, then the square root of 77 would be closest to which number?

• 7
• 8
• 9
• 10

30 is between what two perfect squares on the number line?

• 16 and 25
• 36 and 49
• 20 and 25
• 25 and 36

Because 30 is between 25 and 36, the square root of 30 would be between:

Describe the process of estimating the square root of a nonsquare number in your own words.

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