What are the positive and negative square root of \(\frac { 25} { 4} \) and write your answer in fraction form.

Step 1:

Square Root Calculation: 
- Find the square root of the numerator: \(\sqrt { 25} = 5\) 
- Find the square root of the denominator: \(\sqrt { 4} = 2\)

Step 2:

Fraction Form: 
- The positive square root is \(\frac { 5} { 2} \) 
- The negative square root is \(- \frac { 5} { 2} \)

Supplemental Knowledge:

Square roots are fundamental in algebra and are essential for solving various mathematical problems. When you take the square root of a number, you're essentially finding a value that, when multiplied by itself, gives you the original number. For any positive real number \(a\), there are two square roots: one positive and one negative.

Life in Context:

Understanding square roots can be critical in many practical settings.

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