Square root

High school (ages 12+)
Mathematics & Numbers

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Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/square-root

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is the mathematical property?The square root function is defined for non-negative real numbers
2. What is the complex numbers?Every non-zero complex number has exactly two square roots
3. Why do square roots have two values?Because both a positive and a negative number can give the same product when squared. The symbol √ only shows the positive one.
4. How did people find square roots before calculators?Ancient Babylonians used special algorithms, and Greeks studied irrational roots like √2. Later, the radical symbol was added in the 16th century to write them more easily.

Principal Square Root: The non-negative square root of a non-negative real number.
Irrational Number: A number that cannot be expressed as a simple fraction (a/b), with its decimal representation being non-terminating and non-repeating.
Quadratic Equation: An equation of the form ax² + bx + c = 0, often solved using square roots.