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Verify whether (2√45 3√20)/2√5 is a rational or irrational number?
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Verify whether (2√45 3√20)/2√5 is a rational or irrational number?
Introduction:
In this question, we are asked to verify whether the given expression, (2√45 3√20)/2√5, is a rational or irrational number.
Solution:
To determine whether the given expression is rational or irrational, we need to simplify it.
First, we can simplify the expressions under the radicals:
√45 = √(9 x 5) = 3√5
√20 = √(4 x 5) = 2√5
Substituting these values, we get:
(2 x 3√5 + 3 x 2√5)/2√5
Simplifying further, we get:
(6√5 + 6√5)/2√5 = 12√5/2√5 = 6
Therefore, the given expression simplifies to the rational number 6.
Conclusion:
Since the given expression simplifies to a rational number, we can conclude that it is a rational number.
In this question, we are asked to verify whether the given expression, (2√45 3√20)/2√5, is a rational or irrational number.
Solution:
To determine whether the given expression is rational or irrational, we need to simplify it.
First, we can simplify the expressions under the radicals:
√45 = √(9 x 5) = 3√5
√20 = √(4 x 5) = 2√5
Substituting these values, we get:
(2 x 3√5 + 3 x 2√5)/2√5
Simplifying further, we get:
(6√5 + 6√5)/2√5 = 12√5/2√5 = 6
Therefore, the given expression simplifies to the rational number 6.
Conclusion:
Since the given expression simplifies to a rational number, we can conclude that it is a rational number.
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Verify whether (2√45 3√20)/2√5 is a rational or irrational number?
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Verify whether (2√45 3√20)/2√5 is a rational or irrational number? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Verify whether (2√45 3√20)/2√5 is a rational or irrational number? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Verify whether (2√45 3√20)/2√5 is a rational or irrational number?.
Verify whether (2√45 3√20)/2√5 is a rational or irrational number? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Verify whether (2√45 3√20)/2√5 is a rational or irrational number? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Verify whether (2√45 3√20)/2√5 is a rational or irrational number?.
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