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1.04 Estimating square roots

Interactive practice questions

Between which two consecutive integers does $\sqrt{38}$38 lie?

$\editable{}<\sqrt{38}<\editable{}$<38<

Easy
< 1min

Which of the following has a value between $10$10 and $11$11?

Easy
< 1min

Which of the following is $\sqrt{52}$52 closest to?

Medium
< 1min

The value of $\sqrt{59}$59 lies between two consecutive integers.

Medium
1min
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Outcomes

8.NS.A.2

Use rational approximations of irrational numbers to compare the size of irrational numbers by locating them approximately on a number line diagram. Estimate the value of irrational expressions (such as π^2 ). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.

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