Calculate the Square Root: Finding √0.25

Question

0.25= \sqrt{0.25}=

Video Solution

Step-by-Step Solution

To solve this problem, we need to find the square root of 0.250.25. We will follow these steps:

  • Step 1: Convert 0.250.25 to a more manageable form: 0.25=25100=140.25 = \frac{25}{100} = \frac{1}{4}.
  • Step 2: Use the property of square roots: If 14=y\sqrt{\frac{1}{4}} = y, then y2=14y^2 = \frac{1}{4}.

Now, let's calculate the square root:
Since 14\frac{1}{4} is a fraction, taking the square root of a fraction involves taking the square root of the numerator and the square root of the denominator separately:
14=14=12\sqrt{\frac{1}{4}} = \frac{\sqrt{1}}{\sqrt{4}} = \frac{1}{2}.

Verify by squaring the result: (12)2=14(\frac{1}{2})^2 = \frac{1}{4}. This matches the original number, confirming our result is correct.

Therefore, the square root of 0.250.25 is 0.50.5.

Answer

0.5