is this statemnet correct **Square root of 4 = ±2** 

No, the statement "Square root of 4 = ±2" is not mathematically correct. 

The square root of a number, by definition, is always non-negative. The principal (or positive) square root of 4 is 2, denoted as \(\sqrt{4} = 2\).

The statement "±2" refers to both the positive and negative values, implying that \(2^2 = 4\) and \((-2)^2 = 4\). While it is true that both 2 and -2, when squared, yield 4, the square root symbol \(\sqrt{}\) specifically refers to the principal square root, which is the positive root. Therefore:

- \(\sqrt{4} = 2\)

However, if we are talking about solving the equation \(x^2 = 4\), the solutions would indeed be \(x = \pm 2\).

### Do you have any further questions or would you like more details?

### Related Questions:
1. What is the principal square root of 9?
2. How would you express the square root of a negative number?
3. How do you solve the equation \(x^2 = 16\)?
4. What is the square root of 0, and why?
5. How does the concept of square roots apply to complex numbers?

### Tip:
When dealing with square roots in equations, always consider both the principal square root and the possibility of negative roots to ensure all potential solutions are accounted for.

Explore the correctness of the statement 'Square root of 4 = ±2' with a detailed explanation. Learn about square roots, principal square roots, and solving equations involving square roots. Suitable for students in Grades 7-9.

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