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Magazine Problem 2
Check each equation to see if the given value for \(x\) is a solution. \(\sqrt{3 x-3}-x+1=0\) (a) 1 (b) 4
Problem 2
Find each square root. \(\sqrt{0.25}\) (b) \(\sqrt{0.81}\) (c) \(\sqrt{1.44}\)
Problem 2
Which difference can be simplified without first simplifying the individual radical expressions? A. \(\sqrt{81}-\sqrt{18}\) B. \(\sqrt[3]{8}-\sqrt[3]{16}\) C. \(4 \sqrt[3]{7}-9 \sqrt[3]{7}\) D. \(\sqrt{75}-\sqrt{12}\)
Problem 3
A student incorrectly claimed that \(\sqrt{16}=8\). Evaluate \(\sqrt{16}\) correctly.
Problem 3
Which radical can be simplified? A. \(\sqrt{21}\) B. \(\sqrt{48}\) C. \(\sqrt[3]{12}\) D. \(\sqrt[4]{10}\)
Problem 3
Check each equation to see if the given value for \(x\) is a solution. \(\sqrt{x+2}-\sqrt{9 x-2}=-2 \sqrt{x-1}\) (a) 2 (b) 7
Problem 3
List all of the following sets to which each number belongs. A number may belong to more than one set. real numbers pure imaginary numbers nonreal complex numbers complex numbers $$\sqrt{2}$$
Problem 3
Match each part of a rule for a special product in Column I with the part it equals in Column II. Assume that A and B represent positive real numbers. I $$ (\sqrt{x}+\sqrt{y})(\sqrt{x}-\sqrt{y}) $$ II A. \(x-y\) B. \(x+2 y \sqrt{x}+y^{2}\) C. \(x-y^{2}\) D. \(x-2 \sqrt{x y}+y\) E. \(x^{2}-y\) F. \(x+2 \sqrt{x y}+y\)
Problem 4
A student incorrectly gave the difference $$ 28-4 \sqrt{2} \text { as } 24 \sqrt{2} \text { . } $$ Her teacher did not give her any credit for this answer. WHAT WENT WRONG?
Problem 4
Which radical cannot be simplified? A. \(\sqrt[3]{30}\) B. \(\sqrt[3]{27 a^{2} b}\) C. \(\sqrt{\frac{25}{81}}\) D. \(\frac{2}{\sqrt{7}}\)
