121 в корне

Task: Find the square root of 121.

Step-by-step solution

• Step 1: Understand what a square root means. A square root of a number is another number that, when multiplied by itself, gives the original number.
• Step 2: Check a candidate. 11 × 11 equals 121.
• Step 3: Conclude. Since 11 × 11 = 121, the square root of 121 is 11. The principal (nonnegative) root is 11.
• Step 4: Note about other roots. The equation x^2 = 121 also has x = -11 as a solution, but the square root symbol √ denotes the nonnegative root, so √121 = 11.

Answer: 11

Extra notes (for understanding):

• 121 is a perfect square because it can be written as 11^2.
• If you’re asked for all solutions of x^2 = 121, they are x = 11 and x = -11.