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Rationalise the denominator and evaluate √3=1,733, by taking √2 = 1.414, √3=1.732 and root 5 = 2.236 and root 10 = 3.162 up to 3 places- a) √2+1/root5?
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Rationalise the denominator and evaluate √3=1,733, by taking √2 = 1.41...
Step 1: Rationalize the Denominator
To rationalize the denominator of the expression √2 + 1/√5, we need to multiply both the numerator and the denominator of the fraction by √5. This will eliminate the radical in the denominator.
√2 + 1/√5 = (√2 + 1/√5) * (√5/√5)
= (√2√5 + 1) / 5
= (√10 + 1) / 5
Therefore, the expression √2 + 1/√5 can be rationalized to (√10 + 1) / 5.
Step 2: Evaluate the Expression
Given that √2 = 1.414, √3 = 1.732, √5 = 2.236, and √10 = 3.162, we can substitute these values into the rationalized expression:
(√10 + 1) / 5
= (3.162 + 1) / 5
= 4.162 / 5
= 0.8324
Therefore, the value of the expression √2 + 1/√5, when simplified and evaluated using the given square root values, is approximately 0.8324.
To rationalize the denominator of the expression √2 + 1/√5, we need to multiply both the numerator and the denominator of the fraction by √5. This will eliminate the radical in the denominator.
√2 + 1/√5 = (√2 + 1/√5) * (√5/√5)
= (√2√5 + 1) / 5
= (√10 + 1) / 5
Therefore, the expression √2 + 1/√5 can be rationalized to (√10 + 1) / 5.
Step 2: Evaluate the Expression
Given that √2 = 1.414, √3 = 1.732, √5 = 2.236, and √10 = 3.162, we can substitute these values into the rationalized expression:
(√10 + 1) / 5
= (3.162 + 1) / 5
= 4.162 / 5
= 0.8324
Therefore, the value of the expression √2 + 1/√5, when simplified and evaluated using the given square root values, is approximately 0.8324.
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Rationalise the denominator and evaluate √3=1,733, by taking √2 = 1.414, √3=1.732 and root 5 = 2.236 and root 10 = 3.162 up to 3 places- a) √2+1/root5?
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Rationalise the denominator and evaluate √3=1,733, by taking √2 = 1.414, √3=1.732 and root 5 = 2.236 and root 10 = 3.162 up to 3 places- a) √2+1/root5? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Rationalise the denominator and evaluate √3=1,733, by taking √2 = 1.414, √3=1.732 and root 5 = 2.236 and root 10 = 3.162 up to 3 places- a) √2+1/root5? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rationalise the denominator and evaluate √3=1,733, by taking √2 = 1.414, √3=1.732 and root 5 = 2.236 and root 10 = 3.162 up to 3 places- a) √2+1/root5?.
Rationalise the denominator and evaluate √3=1,733, by taking √2 = 1.414, √3=1.732 and root 5 = 2.236 and root 10 = 3.162 up to 3 places- a) √2+1/root5? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Rationalise the denominator and evaluate √3=1,733, by taking √2 = 1.414, √3=1.732 and root 5 = 2.236 and root 10 = 3.162 up to 3 places- a) √2+1/root5? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rationalise the denominator and evaluate √3=1,733, by taking √2 = 1.414, √3=1.732 and root 5 = 2.236 and root 10 = 3.162 up to 3 places- a) √2+1/root5?.
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