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McGraw Hill Glencoe Algebra 1, 2012

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McGraw Hill Glencoe Algebra 1, 2012 View details

3. Operations with Radical Expressions

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Exercise 30 Page 638

To simplify the given expression, all radicals need to have like radicands. To rationalize the denominator, multiply the numerator and denominators by a radical that will eliminate the radical in the denominator.

$85$

Practice makes perfect

Before we can combine any like terms, we need to rationalize the denominators of the terms. At first we can rewrite every radical in the quotient as a quotient of two radicals.

8 \frac{5}{4} + 320 - 10 \frac{1}{5} = 8 \frac{5}{4} + 320 - 10 \frac{1}{5}

Now, we can rationalize the denominators of these quotients. Since there is already a perfect square under the radicand in the denominator of the first term, we will simplify it at once.

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Subchapter links

Check Your Understanding p.637

Practice and Problem Solving p.638

H.O.T. Problems p.638

Standardized Test Practice p.639

Spiral Review p.639

Skills Review p.639