Question

period: ____ date ____unit 4: inverse & radical functionsquiz 4.4: simplifying radicals (b)/20 ptsperfect squares:perfect cubes:1. 4 pts simplify.a. \\(\sqrt{1312a^8b^{20}}\\)b. \\(\sqrt3{216x^9y^{12}}\\)c. \\(\sqrt{81(m + n)^{14}}\\)d. \\(\sqrt5{32a^{-5}b^5}\\)2. 4 pts simplify. then, write each expression in radical form, or write each radical in exponential form.a. \\(\sqrt3{y^8}\\)b. \\(\sqrt{x}\\)c. \\(z^{\frac{4}{7}}\\)d. \\(6^{\frac{4}{11}}\\)3. 6 pts simplify each expression using the product property of radicals.a. \\(\sqrt{600}\\)b. \\(\sqrt{72cd}\\)c. \\(\sqrt{243w^7x^{12}y^{15}}\\)d. \\(\sqrt3{632}\\)e. \\(\sqrt3{192cd^2}\\)f. \\(\sqrt6{696w^{11}x^{18}y^{22}}\\)

Explanation:

Answer:

1. a. $11|a^3|b^4c^{10}$ b. $6x^3y^4$ c. $9(m+n)^8$ d. $2a^7b^8$
2. a. $y^{\frac{3}{2}}$ b. $x^{\frac{1}{2}}$ c. $\sqrt[7]{z^2}$ d. $\sqrt[4]{6}$
3. a. $10\sqrt{6}$ b. $6\sqrt{2cd}$ c. $9w^3x^6y^7\sqrt{3w}$ d. $6\sqrt[3]{2}$ e. $4d\sqrt[3]{3c}$ f. $7w^2x^3y^4\sqrt[5]{2wx^3y^2}$