the continued fraction for √2453 is
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Given : √2453
To find : continued fraction
Solution:
√2453 = 49 + ( √2453 - 49)
√2453 - 49 = √2453 - 49 * (√2453 + 49) / (√2453 + 49 )
= 52 /(√2453 + 49 )
= 52 / (49 + √2453)
Substitute √2453 - 49 = 52 / (49 + √2453)
√2453 = 49 + 52 / (49 + √2453)
Substituting further √2453 = 49 + 52 / (49 + √2453)
We will get the continue fraction
√2453 = 49 + 52 / ( 49 + 52 / ( 49 + 52/49 + ..................)
Learn more:
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