the number of digits in the square root of 625686734489 ?give short cut?

Answer 1

it is 6 digits.....
and the method is as simple as this.....(it works always)

If the no. Is An Even No. - then the no. of digits in the square root is:
no. of digits divided by two...

If It Is An Odd No. -then:
(No. of digits+1) divided by two.....

i haven't found an exception as yet.... if you do, plz do tell me....

Answer 2

On an average, the number of digits in the square root of a given number is equal to half the number of digits in the given number +/- 1. Thus, square root of 625686734489 has approximately 6 digits. In actual, the square root of the number is 791004, which incidentally has exactly 6 digits.

Answer 3

The number of digits in any positive number n is calculated using the following formula.

f(n) = [[ log(n) ]] + 1, where
[[ ]] is the "greatest integer" function, which works by rounding a number DOWN to the nearest integer. Also, we're dealing with log base 10.

Example: [[ 7.9232 ]] = 7, [[ 5 ]] = 5, [[ pi ]] = 3.

To determine the number of digits in the square root of
625686734489, note that the square root is equivalent to taking a number to the power of 1/2. Therefore, we want to calculate:

[[ log [625686734489]^(1/2) ]] + 1

By properties of logs, we can move the 1/2 to the front of the log. This gives us

[[ (1/2) log [625686734489] ]] + 1

log [625686734489] is approximately equal to 11.796. Getting an exact value doesn't matter much, especially if we're going to be using the greatest integer function.

[[ (1/2) [11.796] ]] + 1

[[ 5.898 ]] + 1

5 + 1

6

The square root of 625686734489 should have 6 digits.

Answer 4

Note your number, called henceforth x, satifies

10^11 < x < 10^12, which, by taking the positive square root of both sides, yields

10^5 < 10^5.5 < sqrt(x) < 10^6, so since 10^5 has six digits, and 10^6 has 7, your square root has 6 digits.

Steve

Answer 5

smallest 12 digit number has its square root as smallest 6 digit number .smallest 13 digit number also has a square root of six digits .therefore your answer is 6

Answer 6

there are 6 digits in the square root of 625686734489

a shortcut is to use a calculator

Answer 7

C'mon, it truly is person-friendly! one hundred^2 = 10000 too small 1000^2 = a million too enormous So the answer is between one hundred and 1000, so it must have 3 digits! you do not pick to locate the easily sq. root. .

Answer 8

use calC