Go t I t? 5. A golden rectangle is 12 in. long. What is the width of the rectangle? Write
your answer in simplified radical form. Round to the nearest tenth of an inch.- Lesso n Ch eck
Do y o u k n o w H OW?
Simplify each radical expression.1.4V3 + V3 2.3V6-V24- V7(V3-2) 4. (V5 - 6)2
- 7 V 5
3 + V 2^6 .V7 + 2
_. - MATHEMATICAL
Do y o u UN DERSTAND? PRACTICES- Vocabulary What is the conjugate of each
expression?
a. V13-2 b. V6 + V3 c. V5-vTo - Error Analysis A student simplified an expression, as
shown below. Describe and correct the error.
Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses
^ Practice Simplify each sum or difference.MATHEMATICAL
PRACTICES- V5 + 6V5
- 3V7 - V63
- -6VI0 + 5V90
Simplify each product.- V6(V2+ V3)
- -V12~(4-2V3)
- (2 + VTo)(2 - VTO)
Simplify each quotient.
510. 12 V 5 - 3 V 5- 4V 128 + 5 V l8
- 3V3-2VI2
11. 7V3+ V3
15. 3V45-8V20
19. —|V5 + 2 V l25 - V ir(V T5-3)
- 5 vT T (V 3 — 3 V2)
- ( V 6 + V3)(V2-2)
See Problems 1 and 2.- 4 V2 — 7 \/2
- V28-5V7
- 5 V8 + 2 V72
4^ See Problem 3.- 3 V 7 (l - V7)
- (3 VII + V7)2
- (5V2-2V3)2
See Problem 4.30.33.V2- 1
V5
2 - V 531.34.V7- V3
-1
2 - 2\/332.35.-2
V6+ V I I
7
V5+ Vl3- Biology A shell fits into a golden rectangle with a length of 8 in. What is the
shell’s width? Write your answer in simplified radical form and rounded to
the nearest tenth of an inch. - Architecture A room is approximately shaped like a golden rectangle. Its length is
23 ft. What is the room’s width? Write your answer in simplified radical form and
rounded to the nearest tenth of a foot.
^ See Problem 5.Po w erAlg eb ra.com Lesso n 10- 3 Op erat io ns W it h Radical Expressions^629