square root of six
-1.2
square root of 4
4.2
-1/4
The square root of 6 is approximately 2.45.
The square root of 4 is exactly 2.
The square root of -1/4 is not a real number as the square root of a negative number is not defined in the context of real numbers.
To find the square root of a number, we need to remember that a square root is a number that, when multiplied by itself, gives the original number. Let's now find the square roots you mentioned step-by-step:
1. Square root of 6:
- The square root of 6 is an irrational number (cannot be expressed as a simple fraction or decimal).
- The approximate value of the square root of 6 is approximately 2.449.
2. Square root of 4:
- The square root of 4 is a whole number.
- The square root of 4 is equal to 2.
3. -1/4:
It seems that you've mentioned -1/4, which is a fraction, not a square root.
To find the square root of a number, you can use a calculator or do it manually. Let's calculate the square root of each of the numbers you mentioned:
1. Square root of 6: The actual square root of 6 is approximately 2.449. When you mention "-1.2," it seems like you might be referring to a negative square root. However, the square root of a positive number cannot be negative. So, to find the approximate negative square root of 6, it would be -2.449.
2. Square root of 4: The square root of 4 is exactly 2. Keep in mind that it does not have a decimal component or multiple values.
3. Square root of -1/4: When dealing with negative numbers, the concept of square root becomes a bit more complex. The square root of a negative number is not a real number but is expressed as an imaginary number. In this case, the square root of -1/4 is equal to (i/2), where "i" represents the imaginary unit. Therefore, there is no decimal approximation for the square root of -1/4.
Remember that square roots can be positive or negative, except for imaginary numbers, which only exist in the domain of complex numbers.