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Rationalize the denominator of 1+root 2 /3+2 root 2?
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Rationalize the denominator of 1+root 2 /3+2 root 2?
Introduction: In this question, we are asked to rationalize the denominator of the given expression.
Given Expression: 1/√2 / 3√2
Rationalizing the Denominator:
To rationalize the denominator, we need to get rid of the radical in the denominator by multiplying both the numerator and denominator by a conjugate of the denominator. In this case, the conjugate of the denominator is (3√2 + √2).
So, we need to multiply both the numerator and denominator by (3√2 + √2).
Therefore, we get:
1/√2 / 3√2 x (3√2 + √2)/(3√2 + √2)
Simplifying this expression, we get:
1/√2 / 3√2 x (3√2 + √2)/(3√2 + √2)
= (1/√2) x (3√2 + √2)/((3√2)^2 - (√2)^2)
= (3√2 + √2)/(2 x 18 - 2)
= (4√2)/32
= √2/8
Conclusion:
Hence, the rationalized form of the given expression is √2/8.
Given Expression: 1/√2 / 3√2
Rationalizing the Denominator:
To rationalize the denominator, we need to get rid of the radical in the denominator by multiplying both the numerator and denominator by a conjugate of the denominator. In this case, the conjugate of the denominator is (3√2 + √2).
So, we need to multiply both the numerator and denominator by (3√2 + √2).
Therefore, we get:
1/√2 / 3√2 x (3√2 + √2)/(3√2 + √2)
Simplifying this expression, we get:
1/√2 / 3√2 x (3√2 + √2)/(3√2 + √2)
= (1/√2) x (3√2 + √2)/((3√2)^2 - (√2)^2)
= (3√2 + √2)/(2 x 18 - 2)
= (4√2)/32
= √2/8
Conclusion:
Hence, the rationalized form of the given expression is √2/8.
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Rationalize the denominator of 1+root 2 /3+2 root 2?
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Rationalize the denominator of 1+root 2 /3+2 root 2?
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Rationalize the denominator of 1+root 2 /3+2 root 2? 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 Rationalize the denominator of 1+root 2 /3+2 root 2? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rationalize the denominator of 1+root 2 /3+2 root 2?.
Rationalize the denominator of 1+root 2 /3+2 root 2? 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 Rationalize the denominator of 1+root 2 /3+2 root 2? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rationalize the denominator of 1+root 2 /3+2 root 2?.
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