Question

122
$\sqrt{?}$
​

Answer 1

Hlo

$\sqrt{122} \\ = 11.0453$

$\sqrt{122}$ is an irrational number.


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Answer 2

e̮l̮l̮o̮ m̮a̮t̮e̮.....

.

ḫe̮r̮e̮ i̮s̮ y̮o̮u̮r̮ s̮o̮l̮u̮t̮i̮o̮n̮...

.

Answer:√122

cannot be simplified. It is an irrational number a little more than 11

Explanation:

√122

is an irrational number, a little greater than 11

The prime factorisation of 122

is:122=2⋅61

Since this contains no factor more than once, the square root of 122

cannot be simplified.

Because 122=121+1=112+1

is of the form n2+1

, the continued fraction expansion of √122

is particularly simple:

√122=[11;¯¯¯¯22]=11+122+122+12+122+122+...

We can find rational approximations for √122

by truncating this continued fraction expansion.

For example:

√122≈[11;22,22]=11+122+122=11+22485=5357485≈11.0453608

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