Math Problem Statement

  • -121 square root

Solution

The expression you’ve written is: 121-121 \sqrt{}. It seems you're asking for the square root of 121-121.

The square root of a negative number involves imaginary numbers. The square root of 121-121 can be written as:

121=1211=11i\sqrt{-121} = \sqrt{121} \cdot \sqrt{-1} = 11i

Where:

  • 1111 is the square root of 121121
  • ii is the imaginary unit, defined as i=1i = \sqrt{-1}

Thus, the result is: 121=11i-121 \sqrt{} = 11i

Let me know if you'd like more details or further clarifications!


Related Questions:

  1. What is the imaginary unit ii and how is it used in complex numbers?
  2. How can we simplify square roots of negative numbers in algebraic expressions?
  3. What is the difference between real and imaginary numbers?
  4. How do you add or subtract imaginary numbers?
  5. Can you use the imaginary unit in real-world applications, such as electrical engineering?

Tip:

Remember that when dealing with the square root of a negative number, you always introduce the imaginary unit ii. Keep this in mind when solving equations involving square roots of negative numbers!

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Math Problem Analysis

Mathematical Concepts

Imaginary Numbers
Square Roots
Complex Numbers

Formulas

\sqrt{-a} = \sqrt{a} \cdot i

Theorems

Square roots of negative numbers lead to imaginary numbers

Suitable Grade Level

Grades 9-11