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If root 2 = 1.414 and root 3= 1.732, find the value of 5/root 2 root 3?
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If root 2 = 1.414 and root 3= 1.732, find the value of 5/root 2 root ...
Explanation:
To find the value of 5/√2√3, we need to simplify the expression first.
Step 1: Simplify the denominator
√2√3 = √6 (since √2 × √3 = √6)
Step 2: Substitute the value of √6 and simplify further
5/√6 = 5/ (√2 × √3) = (5/√2) × (1/√3) = 5√3/3√2
Now, we need to rationalize the denominator to make the expression simpler.
Step 3: Rationalize the denominator
Multiplying both numerator and denominator by √2, we get
5√3/3√2 × √2/√2 = 5√6/6
Therefore, the value of 5/√2√3 is 5√6/6.
Final Answer: The value of 5/√2√3 is 5√6/6.
To find the value of 5/√2√3, we need to simplify the expression first.
Step 1: Simplify the denominator
√2√3 = √6 (since √2 × √3 = √6)
Step 2: Substitute the value of √6 and simplify further
5/√6 = 5/ (√2 × √3) = (5/√2) × (1/√3) = 5√3/3√2
Now, we need to rationalize the denominator to make the expression simpler.
Step 3: Rationalize the denominator
Multiplying both numerator and denominator by √2, we get
5√3/3√2 × √2/√2 = 5√6/6
Therefore, the value of 5/√2√3 is 5√6/6.
Final Answer: The value of 5/√2√3 is 5√6/6.
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If root 2 = 1.414 and root 3= 1.732, find the value of 5/root 2 root 3?
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If root 2 = 1.414 and root 3= 1.732, find the value of 5/root 2 root 3? 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 root 2 = 1.414 and root 3= 1.732, find the value of 5/root 2 root 3? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If root 2 = 1.414 and root 3= 1.732, find the value of 5/root 2 root 3?.
If root 2 = 1.414 and root 3= 1.732, find the value of 5/root 2 root 3? 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 root 2 = 1.414 and root 3= 1.732, find the value of 5/root 2 root 3? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If root 2 = 1.414 and root 3= 1.732, find the value of 5/root 2 root 3?.
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