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Chapter 0: Problem 10
Evaluate each expression or indicate that the root is not a real number. $$\sqrt{144}+\sqrt{25}$$
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Explain the quotient rule for exponents. Use \(\frac{5^{8}}{5^{2}}\) in your explanation.
What difference is there in simplifying \(\sqrt[3]{(-5)^{3}}\) and \(\sqrt[4]{(-5)^{4}} ?\)
The early Greeks believed that the most pleasing of all rectangles were golden rectangles, whose ratio of width to height is $$\frac{w}{h}=\frac{2}{\sqrt{5}-1}$$ The Parthenon at Athens fits into a golden rectangle once the triangular pediment is reconstructed. (IMAGE CANT COPY) Rationalize the denominator of the golden ratio. Then use a calculator and find the ratio of width to height, correct to the nearest hundredth, in golden rectangles.
Simplify by reducing the index of the radical. $$\sqrt[9]{x^{6} y^{3}}$$
Factor completely. $$ x^{2 n}+6 x^{n}+8 $$
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