Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.3 - Radicals and Rational Exponents - Exercise Set - Page 47: 117

Answer

$\frac{\sqrt 5+1}{2}\approx1.62$

Work Step by Step

With the given golden rectangles formula $\frac{w}{h}=\frac{2}{\sqrt 5-1}$, multiply the conjugate of the denominator $\sqrt 5+1$ to both the numerator and the denominator; we have $\frac{w}{h}=\frac{2}{\sqrt 5-1}\times\frac{\sqrt 5+1}{\sqrt 5+1}=\frac{\sqrt 5+1}{2}\approx1.62$
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