How to Estimate Square Roots

How to Estimate Square Roots

Assessment

Interactive Video

Mathematics

10th - 12th Grade

Hard

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The video tutorial focuses on solving a standardized math test question about estimating square roots. The problem involves determining the diagonal length of a laptop screen given as 2 times the square root of 42 inches. The instructor explains that the square root of 42 is not a perfect square and estimates it to be between 6 and 7, approximately 6.5. By multiplying 6.5 by 2, the estimated diagonal length is calculated to be 13 inches.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the diagonal length of Jacinda's laptop screen in inches?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What two perfect squares does the square root of 42 lie between?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you estimate the square root of 42 using perfect squares?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the estimated value of the square root of 42 that Jacinda used?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the calculation process Jacinda used to find the estimated diagonal length.

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