Pergunta
cdot sqrt [3](4)
17. sqrt [4](8)cdot sqrt [4](8)
18. (sqrt [3](3)cdot sqrt [4](3))^12
19. (sqrt [5](64))/(sqrt [5](2))
20. (sqrt (3))/(sqrt (75))
21. (sqrt [4](36)cdot sqrt [4](9))/(sqrt [4](4))
(sqrt [4](8)cdot sqrt [4](16))/(sqrt [8](2)cdot sqrt [8](3))
23. I TAKS REASONING What is the simplest form of the expression
3sqrt [4](32)cdot (-6sqrt [4](5))
A sqrt [4](10)
B -18sqrt [4](10)
C -36sqrt [4](10)
D 36sqrt [8](10)
SIMPLEST FORM Write the expression in simplest form.
24. sqrt (72)
25. sqrt [6](256)
26. sqrt [3](108)cdot sqrt [3](4)
(27. 5sqrt [4](64)cdot 2sqrt [4](8)
28. sqrt [3]((1)/(6))
29. (3)/(sqrt [4](144))
30. sqrt [6]((81)/(4))
31. (sqrt [3](9))/(sqrt [5](27))
PROPERTIES OF RADICALS Simplify the expression.
15 sqrt (20)cdot sqrt (5)10
16. sqrt [3](16)cdot sqrt [3](4) 4
17 sqrt [4](8)cdot sqrt [4](8)2sqrt (2)
18. (sqrt [3](3)cdot sqrt [4](3))^122187
19. (sqrt [5](64))/(sqrt [5](2))2
20. (sqrt (3))/(sqrt (75))(1)/(5)
21 (sqrt [4](36)cdot sqrt [4](9))/(sqrt [4](4))3
22.
(sqrt [4](8)cdot sqrt [4](16))/(sqrt [8](2)cdot sqrt [8](3))frac (2sqrt [8](683)){
23. MULTIPLE CHOICE What is the simplest form of the expression
3sqrt [4](32)cdot (-6sqrt [4](5))
(A) sqrt [4](10)
(B) -18sqrt [4](10)
(C) -36sqrt [4](10)
D 36sqrt [8](10)
SIMPLEST FORM Write the expression in simplest form.
24. sqrt (72)6sqrt (2)
25 sqrt [6](256)2sqrt [3](2)
26. sqrt [3](108)cdot sqrt [3](4)6sqrt [3](2)
(27) 5sqrt [4](64)cdot 2sqrt [4](8)
28. sqrt [3]((1)/(6))(sqrt [3](36))/(6)
29. (3)/(sqrt [4](144))(sqrt (3))/(2)
30. sqrt [6]((81)/(4))(sqrt [3](36))/(2)
(sqrt [3](9))/(sqrt [5](27))sqrt [15](3)](https://static.questionai.br.com/resource%2Fqaiseoimg%2F202411%2Fproperties-radicals-simplify-expression15-sqrt-20cdot-t6TpkIjEBW0E.jpg?x-oss-process=image/resize,w_558,h_500/quality,q_35/format,webp)
PROPERTIES OF RADICALS Simplify the expression. 15. sqrt (20)cdot sqrt (5) 16 sqrt [3](16)cdot sqrt [3](4) 17. sqrt [4](8)cdot sqrt [4](8) 18. (sqrt [3](3)cdot sqrt [4](3))^12 19. (sqrt [5](64))/(sqrt [5](2)) 20. (sqrt (3))/(sqrt (75)) 21. (sqrt [4](36)cdot sqrt [4](9))/(sqrt [4](4)) (sqrt [4](8)cdot sqrt [4](16))/(sqrt [8](2)cdot sqrt [8](3)) 23. I TAKS REASONING What is the simplest form of the expression 3sqrt [4](32)cdot (-6sqrt [4](5)) A sqrt [4](10) B -18sqrt [4](10) C -36sqrt [4](10) D 36sqrt [8](10) SIMPLEST FORM Write the expression in simplest form. 24. sqrt (72) 25. sqrt [6](256) 26. sqrt [3](108)cdot sqrt [3](4) (27. 5sqrt [4](64)cdot 2sqrt [4](8) 28. sqrt [3]((1)/(6)) 29. (3)/(sqrt [4](144)) 30. sqrt [6]((81)/(4)) 31. (sqrt [3](9))/(sqrt [5](27)) PROPERTIES OF RADICALS Simplify the expression. 15 sqrt (20)cdot sqrt (5)10 16. sqrt [3](16)cdot sqrt [3](4) 4 17 sqrt [4](8)cdot sqrt [4](8)2sqrt (2) 18. (sqrt [3](3)cdot sqrt [4](3))^122187 19. (sqrt [5](64))/(sqrt [5](2))2 20. (sqrt (3))/(sqrt (75))(1)/(5) 21 (sqrt [4](36)cdot sqrt [4](9))/(sqrt [4](4))3 22. (sqrt [4](8)cdot sqrt [4](16))/(sqrt [8](2)cdot sqrt [8](3))frac (2sqrt [8](683)){ 23. MULTIPLE CHOICE What is the simplest form of the expression 3sqrt [4](32)cdot (-6sqrt [4](5)) (A) sqrt [4](10) (B) -18sqrt [4](10) (C) -36sqrt [4](10) D 36sqrt [8](10) SIMPLEST FORM Write the expression in simplest form. 24. sqrt (72)6sqrt (2) 25 sqrt [6](256)2sqrt [3](2) 26. sqrt [3](108)cdot sqrt [3](4)6sqrt [3](2) (27) 5sqrt [4](64)cdot 2sqrt [4](8) 28. sqrt [3]((1)/(6))(sqrt [3](36))/(6) 29. (3)/(sqrt [4](144))(sqrt (3))/(2) 30. sqrt [6]((81)/(4))(sqrt [3](36))/(2) (sqrt [3](9))/(sqrt [5](27))sqrt [15](3)
Solução
Verification of experts4.0285 Voting
SamanthaMestre · Tutor por 5 anos
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15. $\sqrt {20}\cdot \sqrt {5} = \sqrt {100} = 10$<br /><br />16. $\sqrt [3]{16}\cdot \sqrt [3]{4} = \sqrt [3]{64} = 4$<br /><br />17. $\sqrt [4]{8}\cdot \sqrt [4]{8} = \sqrt [4]{64} = 2\sqrt {2}$<br /><br />18. $(\sqrt [3]{3}\cdot \sqrt [4]{3})^{12} = 3^4 \cdot 3^6 = 3^{10} = 2187$<br /><br />19. $\frac {\sqrt [5]{64}}{\sqrt [5]{2}} = \frac {2}{\sqrt [5]{2}} = 2$<br /><br />20. $\frac {\sqrt {3}}{\sqrt {75}} = \frac {\sqrt {3}}{\sqrt {3 \cdot 25}} = \frac {\sqrt {3}}{5\sqrt {3}} = \frac {1}{5}$<br /><br />21. $\frac {\sqrt [4]{36}\cdot \sqrt [4]{9}}{\sqrt [4]{4}} = \frac {\sqrt [4]{324}}{\sqrt [4]{4}} = \frac {18}{2} = 9$<br /><br />22. $\frac {\sqrt [4]{8}\cdot \sqrt [4]{16}}{\sqrt [8]{2}\cdot \sqrt [8]{3}} = \frac {\sqrt [4]{128}}{\sqrt [8]{6}} = \frac {2\sqrt [8]{128}}{\sqrt [8]{6}} = \frac {2\sqrt [8]{683}}{\sqrt [8]{6}}$<br /><br />23. $3\sqrt [4]{32}\cdot (-6\sqrt [4]{5}) = -18\sqrt [4]{160} = -18\sqrt [4]{10}$<br /><br />24. $\sqrt {72} = \sqrt {36 \cdot 2} = 6\sqrt {2}$<br /><br />25. $\sqrt [6]{256} = \sqrt [6]{2^8} = 2\sqrt [3]{2}$<br /><br />26. $\sqrt [3]{108}\cdot \sqrt [3]{4} = \sqrt [3]{432} = 6\sqrt [3]{2}$<br /><br />27. $5\sqrt [4]{64}\cdot 2\sqrt [4]{8} = 5 \cdot 4 \cdot 2\sqrt [4]{2} = 40\sqrt [4]{2}$<br /><br />28. $\sqrt [3]{\frac {1}{6}} = \frac {\sqrt [3]{36}}{6}$<br /><br />29. $\frac {3}{\sqrt [4]{144}} = \frac {3}{\sqrt [4]{12^2}} = \frac {3}{12} = \frac {\sqrt {3}}{2}$<br /><br />30. $\sqrt [6]{\frac {81}{4}} = \frac {\sqrt [6]{81}}{\sqrt [6]{4}} = \frac {\sqrt [6]{3^4}}{\sqrt [6]{2^2}} = \frac {3^{2/3}}{2^{1/3}} = \frac {\sqrt [3]{9}}{\sqrt [5]{27}} = \sqrt [15]{3}$
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