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Exercises Numbers, fractions and percents

Example 5.73 from Prealgebra, 5.7 Simplify and Use Square Roots

Simplify and Use Square Roots: example 5.73

Estimate $\sqrt{60}$ between two consecutive whole numbers.

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
Think of the perfect squares closest to $60 .$ Make a small table of these perfect squares and their squares roots.

$Locate 60 between two consecutive perfect squares.$ $49 < 60 < 64$

$\sqrt{60} is between their square roots.$ $7 < \sqrt{60} < 8$

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Estimate $\sqrt{38}$ between two consecutive whole numbers.

How did it go?

PreviousSimplify and Use Square Roots: example 5.72 Next Simplify and Use Square Roots: example 5.74

From Prealgebra (1st edition) by OpenStax (Rice University), section 5.7, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.