Question

HELP PLEASE Part A: Use the properties of exponents to explain why 18 to the power of 1/5 is called the fifth root of 18. (5 points) complete sentences

Part B: The length of a rectangle is 2 units and its width is (square root symbol) 2 unit. Is the area of the rectangle rational or irrational? Justify your answer. (5 points)

Answer 1

@SolomonZelman @precal

Answer 2

@ganeshie8

Answer 3

@YanaSidlinskiy

Answer 4

@annas

Answer 5

@JMark

Answer 6

@SolomonZelman HELP pleaseee

Answer 7

Part B: it is irrational because the formula for a rectangle is length times width. this would be \[2\sqrt{2}\]
and a square root in your answer that cannot be reduced is irrational:)

Answer 8

Thank you I dont understand part a now :(

Answer 9

\[18(^\frac{ 1 }{ 5 })\] is also called the 5th root of 18 because if you multiply it by itself 5 times, you get 18

\[18(^{\frac{ 1 }{ 5 }}) \times 18(^{\frac{ 1 }{ 5 }}) \times 18(^{\frac{ 1 }{ 5 }}) \times 18(^{\frac{ 1 }{ 5 }}) \times 18(^{\frac{ 1 }{ 5 }}) = 18\]

by the rules of exponents \(\huge{\rightarrow}\) \[[18(^\frac{ 1 }{ 5 })^{5}]=18^{1} = 18\]

Answer 10

Ok thank you!!!

Answer 11

You're Welcome:D Hope that helped:D Sorry it took a little while:D

Answer 12

Yea haha

Answer 13

Well, my apologies:)