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Evaluate 8 root 3/10 root 3- 4root 5/ root6 root 5- 7 root 2/ root 15 3 root 2?
Most Upvoted Answer
Evaluate 8 root 3/10 root 3- 4root 5/ root6 root 5- 7 root 2/ root 1...
Introduction:
In this problem, we are required to evaluate the expression 8√3/10√3 - 4√5/√6√5 - 7√2/√15 * 3√2.
Solution:
To solve this expression, we need to simplify each term first and then combine them.
Simplification of the first term:
8√3/10√3 can be simplified as follows:
8√3/10√3 = 4/5
Simplification of the second term:
4√5/√6√5 can be simplified as follows:
4√5/√6√5 = 4/√6 = 4√6/6
Simplification of the third term:
7√2/√15 * 3√2 can be simplified as follows:
7√2/√15 * 3√2 = 7*3/√15 = 21/√15
Combining the simplified terms:
Now we can substitute the simplified values into the original expression and combine them as follows:
4/5 - 4√6/6 - 21/√15
Common denominator:
To combine the terms, we need to find a common denominator. The common denominator of 5, 6, and 15 is 30√15.
Converting the terms to the common denominator:
4/5 = 24√15/30√15
4√6/6 = 20√15/30√15
21/√15 = 21√15/30√15
Final answer:
Now we can combine the terms and simplify the result as follows:
24√15/30√15 - 20√15/30√15 - 21√15/30√15 = (24 - 20 - 21)√15/30√15 = -17√15/30√15
Therefore, the final answer is -17/30.
In this problem, we are required to evaluate the expression 8√3/10√3 - 4√5/√6√5 - 7√2/√15 * 3√2.
Solution:
To solve this expression, we need to simplify each term first and then combine them.
Simplification of the first term:
8√3/10√3 can be simplified as follows:
8√3/10√3 = 4/5
Simplification of the second term:
4√5/√6√5 can be simplified as follows:
4√5/√6√5 = 4/√6 = 4√6/6
Simplification of the third term:
7√2/√15 * 3√2 can be simplified as follows:
7√2/√15 * 3√2 = 7*3/√15 = 21/√15
Combining the simplified terms:
Now we can substitute the simplified values into the original expression and combine them as follows:
4/5 - 4√6/6 - 21/√15
Common denominator:
To combine the terms, we need to find a common denominator. The common denominator of 5, 6, and 15 is 30√15.
Converting the terms to the common denominator:
4/5 = 24√15/30√15
4√6/6 = 20√15/30√15
21/√15 = 21√15/30√15
Final answer:
Now we can combine the terms and simplify the result as follows:
24√15/30√15 - 20√15/30√15 - 21√15/30√15 = (24 - 20 - 21)√15/30√15 = -17√15/30√15
Therefore, the final answer is -17/30.
Community Answer
Evaluate 8 root 3/10 root 3- 4root 5/ root6 root 5- 7 root 2/ root 1...
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Evaluate 8 root 3/10 root 3- 4root 5/ root6 root 5- 7 root 2/ root 15 3 root 2?
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Evaluate 8 root 3/10 root 3- 4root 5/ root6 root 5- 7 root 2/ root 15 3 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 Evaluate 8 root 3/10 root 3- 4root 5/ root6 root 5- 7 root 2/ root 15 3 root 2? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Evaluate 8 root 3/10 root 3- 4root 5/ root6 root 5- 7 root 2/ root 15 3 root 2?.
Evaluate 8 root 3/10 root 3- 4root 5/ root6 root 5- 7 root 2/ root 15 3 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 Evaluate 8 root 3/10 root 3- 4root 5/ root6 root 5- 7 root 2/ root 15 3 root 2? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Evaluate 8 root 3/10 root 3- 4root 5/ root6 root 5- 7 root 2/ root 15 3 root 2?.
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