the length of a rectangular field is cube root 5+cube root 2. find the measure of its breadth such that the area of the rectangle is a rational number?
Answers
4.4429
Step-by-step explanation:
You must need to Provide Rational Number but for the Question I am assuming 2/3 as Rational Number.
+
= 1.709 + 1.259 = 2.959
So as per by Question Length of Rectangular Field becomes 2.959
Breadth = Area ÷ Length
Area as per by Question is any rational number so we consider 2/3
Breadth = 2.959 ÷ 2/3
Breadth = 2.959 ÷ 0.666
Answer = 4.4429
measure of its breadth such that the area of the rectangle is a rational number = ∛25 + ∛8 - ∛10
Step-by-step explanation:
Length Of rectangular field L = ∛5 + ∛2
a = ∛5 & b = ∛2
Area of rectangle would be rational if Area A = a³ + b³ or a³ - b³
Case 1
Area = a³ + b³
Then Breadth = Area /Length = (a³ + b³)/(a + b)
= a² + b² - ab
= (∛5)² + (∛2)² - ∛5∛2
= ∛25 + ∛8 - ∛10
Case 2 :
Area = a³ - b³
Breadth = (a³ - b³)/(a + b) Does not give proper results
measure of its breadth such that the area of the rectangle is a rational number = ∛25 + ∛8 - ∛10
Area = 5 + 2 = 7
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