Answer:
In summary:
Decimal form: 8.66
Exact form: 5√3
Feel free to choose the representation that best suits your needs!
Step-by-step explanation:
The square root of 75 can be expressed in several ways. Let’s explore a few of them:
Decimal Form: The square root of 75 is approximately 8.6612. This value is rounded to two decimal places.
Exact Form: We can express the square root of 75 as a radical: √75. To simplify it further, we can factor 75 into its prime factors: 75 = 3 × 5². Therefore, √75 = √(3 × 5²) = 5√3. This is the exact form of the square root of 75 3.
Using Exponents: Another way to express the square root of 75 is by raising 75 to the power of half: √75 = 75^(1/2) = 5√3 3.
