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Rationalize and evaluate 6 upon root 5 + root 3, given root 5= 2.236 nd root 3 = 1.732?
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Rationalize and evaluate 6 upon root 5 + root 3, given root 5= 2.236 n...
Rationalizing and Evaluating 6/√(5)√(3)
Step 1: Rationalizing the Denominator
In order to rationalize the denominator, we need to multiply both the numerator and denominator by the conjugate of the denominator. The conjugate of √(5)√(3) is √(5)√(3), which means we need to multiply the expression by (√(5)√(3))/(√(5)√(3)).
Thus, we have:
6/√(5)√(3) x (√(5)√(3))/(√(5)√(3))
Simplifying the numerator and denominator, we get:
6√(15)/15
Step 2: Evaluating the Expression
Now that we have rationalized the denominator, we can evaluate the expression using the given values of √(5) and √(3).
Substituting √(5) = 2.236 and √(3) = 1.732, we get:
6√(15)/15 = 6(2.236)(1.732)/15
Simplifying the expression, we get:
6√(15)/15 ≈ 2.776
Conclusion
The value of 6/√(5)√(3) when √(5) = 2.236 and √(3) = 1.732 is approximately 2.776. Rationalizing the denominator involved multiplying both the numerator and denominator by the conjugate of the denominator, while evaluating the expression involved substituting the given values of √(5) and √(3) and simplifying the expression.
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Rationalize and evaluate 6 upon root 5 + root 3, given root 5= 2.236 n...
6/ √5+√3 = 6/√5+√3 × √5 -√3 = 6√5 - 6√3/ (√5)² -(√3)² = 6√5 - 6√3 / 5-3 = 6√5 -6√3 / 2 put the value of √5 = 2.236 and √3 = 1.732 6×2.236 - 6× 1.732 / 2 = 13.416 - 10.392/ 2 = 2.024/ 2 = 1.012
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Rationalize and evaluate 6 upon root 5 + root 3, given root 5= 2.236 nd root 3 = 1.732?
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Rationalize and evaluate 6 upon root 5 + root 3, given root 5= 2.236 nd root 3 = 1.732? 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 and evaluate 6 upon root 5 + root 3, given root 5= 2.236 nd root 3 = 1.732? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rationalize and evaluate 6 upon root 5 + root 3, given root 5= 2.236 nd root 3 = 1.732?.
Rationalize and evaluate 6 upon root 5 + root 3, given root 5= 2.236 nd root 3 = 1.732? 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 and evaluate 6 upon root 5 + root 3, given root 5= 2.236 nd root 3 = 1.732? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rationalize and evaluate 6 upon root 5 + root 3, given root 5= 2.236 nd root 3 = 1.732?.
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