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Exercises Roots and quadratic equations

Example 9.67 from Elementary Algebra, 9.5 Divide Square Roots

Divide Square Roots: example 9.67

Simplify: $- \frac{8}{3 \sqrt{6}}$ .

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
To remove the square root from the denominator, we multiply it by itself. To keep the fractions equivalent, we multiply both the numerator and denominator by $\sqrt{6}$ .

Multiply both the numerator and the denominator by $\sqrt{6}$ .

Simplify.

Remove common factors.

Simplify.

Your turn

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

Simplify: $\frac{5}{2 \sqrt{5}}$ .

How did it go?

PreviousDivide Square Roots: example 9.66 Next Divide Square Roots: example 9.68

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 9.5, 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.