Rationalise the denominators.
a)1/root5+root2. b)3/7-root2
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Answer:
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Step-by-step explanation:
a) 1/root5+root 2
=1/root5+root2 × root5-root2/root5-root2
=root5-root2/(root5)2 - (root2)2
=root5-root2/5-2
=root5-root2/3.
b)3/7-root2
=3/7-root2 × 7+root2/7+root2
=21+3root2/(7)2-(root2)2
=21+3root2/49-2
=24root2/47.
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Solution:
- See the attachment for solution.
Concept Used:
- Rationalisation: It is the process to remove the surds from the denominator part by multiplying both the numerator and denominator with the conjugate of denominator.
- Example, Conjugate of √5 - √2 is √5 + √2.
- After multiplication, expression is simplified and hence, the problem is solved.
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Attachments:
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