Square Roots of 75
The square root of 75 is the number that, when multiplied by itself, equals 75. There are two square roots of 75, because 75 is a perfect square. The two square roots of 75 are 8.66025404 and -8.66025404.
How to Find the Square Root of 75
There are many ways to find the square root of 75. One way is to use a calculator. Simply enter "75" into the calculator and press the square root button. The calculator will display the two square roots of 75.
Another way to find the square root of 75 is to use a number line. Draw a number line and mark 75 on the line. Then, use a compass or a ruler to draw a line from 0 to 75. The point where the line intersects the number line is the square root of 75.
Finally, you can also find the square root of 75 by using the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is 75 and the other two sides are 25 and 25. Substituting these values into the Pythagorean Theorem, we get:
(75)^2 = (25)^2 + (25)^2 5625 = 625 + 625 5625 = 1250 √5625 = √1250 √75 = √5 × √25 √75 = 5√5 √75 = 8.66025404 Questions Related to Square Roots of 75
Here are some questions related to square roots of 75:
- What is the positive square root of 75?
- What is the negative square root of 75?
- How many square roots does 75 have?
- How do you find the square root of 75 using a number line?
- How do you find the square root of 75 using the Pythagorean Theorem?
Answers to Questions Related to Square Roots of 75
- The positive square root of 75 is 8.66025404.
- The negative square root of 75 is -8.66025404.
- 75 has two square roots, because it is a perfect square.
- To find the square root of 75 using a number line, draw a number line and mark 75 on the line. Then, use a compass or a ruler to draw a line from 0 to 75. The point where the line intersects the number line is the square root of 75.
- To find the square root of 75 using the Pythagorean Theorem, use the following steps:
- Draw a right triangle with a hypotenuse of length 75.
- Label the other two sides of the triangle as 25 and 25.
- Substitute these values into the Pythagorean Theorem:
(75)^2 = (25)^2 + (25)^2 5625 = 625 + 625 5625 = 1250 √5625 = √1250 √75 = √5 × √25 √75 = 5√5 √75 = 8.66025404 Conclusion
The square root of 75 is 8.66025404. There are two square roots of 75, because it is a perfect square.