Determine the first four numbers of N if N is N = √(122436486072...2400) ​

Question

Determine the first four numbers of N if N is


`N = √(122436486072...2400)`
​

Answer 1

• 1106 . . . or
• 3499

see below for explanation

Explanation:

The first four digits of the root depend on whether the exponent in scientific notation is even or odd.

If it is even, then the mantissa of the root is ...

`N \approx√(1.2243648607)\approx 1.106\dots`

If it is odd, then the mantissa of the root is ...

`N \approx√(12.243648607)\approx 3.499\dots`