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Exercises Numbers, fractions and percents

Example 5.75 from Prealgebra, 5.7 Simplify and Use Square Roots

Simplify and Use Square Roots: example 5.75

Simplify: $\sqrt{x^{2}} .$

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 about what we would have to square to get $x^{2}$ . Algebraically, ${(?)}^{2} = x^{2}$

$\sqrt{x^{2}}$

Since ${(x)}^{2} = x^{2}$ $x$

Your turn

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

Simplify: $\sqrt{y^{2}} .$

How did it go?

PreviousSimplify and Use Square Roots: example 5.74 Next Simplify and Use Square Roots: example 5.76

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.