Radical expressions are characterized by radical symbols and an index — a small number written in front of the radical symbol that indicates whether you have a cube root, a fourth root, and so on. When no number is written in front of the radical, you assume it's a square root.
In this chapter, you get plenty of practice working with radicals in the following ways:
As you get in your groove, solving one radical problem after another, don't overlook the following:
191–196 Simplify the radical expressions.
191.
192.
193.
194.
195.
196.
197–210 Simplify the fractions by rationalizing the denominators.
197.
198.
199.
200.
201.
202.
203.
205.
206.
207.
208.
209.
210.
211–216 Rewrite each radical expression using a fractional exponent.
211.
212.
213.
214.
215.
216.
217–226 Compute the value of each expression.
217. 82/3
218. 163/4
219. 274/3
220. 95/2
221. 645/6
222. 1252/3
223. 1000−2/3
224. 32−1/5
225.
226.
227–234 Perform the operations on the radicals.
227.
228.
229.
230.
231.
233.
234.
235–242 Perform the operations on the expressions.
235. 610/3 · 61/3
236. 53/4 · 515/4
237.
238.
239.
240.
241.
242.
243–250 Estimate the value of the radicals to the nearer tenth after simplifying the radicals. Use: ≈ 1.4, ≈ 1.7, ≈ 2.2
243.
244.
245.
247.
248.
249.
250.
3.16.130.201