Find the value of 1+√2÷1-√2
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Answer:
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Step-by-step explanation:
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Answered by
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Answer:
Given : \sqrt{2}=1.414
2
=1.414
To Find :\frac{1}{\sqrt{2}+1}
2
+1
1
Solution :
\frac{1}{\sqrt{2}+1}
2
+1
1
Rationalize
\frac{1}{\sqrt{2}+1} \times \frac{\sqrt{2}-1}{\sqrt{2}-1}
2
+1
1
×
2
−1
2
−1
Identity : (a+b)(a-b)a^2-b^2(a+b)(a−b)a
2
−b
2
\frac{\sqrt{2}-1}{2-1}
2−1
2
−1
\frac{\sqrt{2}-1}{1}
1
2
−1
1.414-11.414−1
0.4140.414
Hence \frac{1}{\sqrt{2}+1}=0.414
2
+1
1
=0.414
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