Understanding the Square Root of 121

Result

√121 = 11.000000

Step-by-Step Process

Step 1: Find the Prime Factors of 121

The prime factors of 121 are: 11, 11

Properties of Square Root 121

  • Square: 121
  • Square Root: 11.000000
  • Number Type: Rational
  • Perfect Square: Yes

Practical Applications

Geometry

If you have a square with an area of 121 square units, each side would measure √121 units.

Pythagorean Theorem

In a right triangle, if the hypotenuse measures 121 units, and one leg equals the other, each leg would measure √60.5 units.

Calculation Methods

Division Method

To approximate √121, you can use the division method:

  1. Take an approximate number (x)
  2. Divide 121 by x
  3. Average x with the result
  4. Repeat the process for greater accuracy

Frequently Asked Questions

What is the square root of 121?

The square root of 121 is 11.0, which is the number that, when multiplied by itself, gives 121.

Is 121 a prime number?

No, 121 is not a prime number.

Is √121 a rational or irrational number?

√121 is a rational number because it results in the integer 11.0.

How to simplify √121?

To simplify √121, we look for the largest perfect square that divides 121 and take it out of the root.