Class 9 Exam > Class 9 Questions > If x=1/3-2root2 and y=1/3+2root2 then find th...
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If x=1/3-2root2 and y=1/3+2root2 then find the value of x+y+xy
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If x=1/3-2root2 and y=1/3+2root2 then find the value of x+y+xy
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If x=1/3-2root2 and y=1/3+2root2 then find the value of x+y+xy
Given:
x = 1/3 - 2√2
y = 1/3 + 2√2
To find the value of xy, we need to multiply x and y together.
Calculating xy:
x = 1/3 - 2√2
y = 1/3 + 2√2
Multiplying x and y, we get:
xy = (1/3 - 2√2) * (1/3 + 2√2)
Using the difference of squares:
The expression (a - b)(a + b) can be simplified to a^2 - b^2.
Applying this rule to xy, we have:
xy = (1/3)^2 - (2√2)^2
Simplifying xy:
Squaring 1/3, we get:
xy = 1/9 - (2√2)^2
Squaring 2√2, we have:
xy = 1/9 - 4(2^2)
Simplifying further:
xy = 1/9 - 4(4)
xy = 1/9 - 16
Combining the fractions:
xy = (1 - 16*9)/9
xy = (1 - 144)/9
xy = -143/9
Final Answer:
The value of xy is -143/9.
x = 1/3 - 2√2
y = 1/3 + 2√2
To find the value of xy, we need to multiply x and y together.
Calculating xy:
x = 1/3 - 2√2
y = 1/3 + 2√2
Multiplying x and y, we get:
xy = (1/3 - 2√2) * (1/3 + 2√2)
Using the difference of squares:
The expression (a - b)(a + b) can be simplified to a^2 - b^2.
Applying this rule to xy, we have:
xy = (1/3)^2 - (2√2)^2
Simplifying xy:
Squaring 1/3, we get:
xy = 1/9 - (2√2)^2
Squaring 2√2, we have:
xy = 1/9 - 4(2^2)
Simplifying further:
xy = 1/9 - 4(4)
xy = 1/9 - 16
Combining the fractions:
xy = (1 - 16*9)/9
xy = (1 - 144)/9
xy = -143/9
Final Answer:
The value of xy is -143/9.
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If x=1/3-2root2 and y=1/3+2root2 then find the value of x+y+xy
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If x=1/3-2root2 and y=1/3+2root2 then find the value of x+y+xy for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If x=1/3-2root2 and y=1/3+2root2 then find the value of x+y+xy covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x=1/3-2root2 and y=1/3+2root2 then find the value of x+y+xy.
If x=1/3-2root2 and y=1/3+2root2 then find the value of x+y+xy for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If x=1/3-2root2 and y=1/3+2root2 then find the value of x+y+xy covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x=1/3-2root2 and y=1/3+2root2 then find the value of x+y+xy.
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