Introduction: In mathematics, a square root of a number is a value that, when multiplied by itself, gives the number. It is denoted by the symbol √. In this question, we need to find the square root of 0.00185761.

Solution:
To find the square root of 0.00185761, we can use the long division method or use a calculator. Below is the step-by-step solution using the calculator:

1. Enter the number 0.00185761 on the calculator.
2. Press the square root (√) button.
3. The calculator will display the result as 0.04306.

Therefore, the square root of 0.00185761 is 0.04306.

Points to Remember- Squares and Square Roots:
1. The square of a number is obtained by multiplying the number by itself.
2. The square root of a number is the value that, when multiplied by itself, gives the number.
3. The square root of a perfect square is a whole number.
4. The square root of a non-perfect square is an irrational number that cannot be expressed as a fraction.
5. The symbol for square root is √.

Conclusion: In conclusion, the square root of 0.00185761 is 0.04306. It is important to understand the concept of squares and square roots in mathematics as it is used in many areas of science and engineering.

0.0431