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  1. 3^2 (squared) = 3 x 3 = 3+3+3 = 9. Taking the square root is figuring out what number multiplied by itself is equal to the number under the square root symbol. So: √4 = 2, because 2*2 OR 2^2 = 4. √9 = 3, because 3 x 3 = 9 OR 3^2 = 9. Hopefully that helps! ( 3 votes) Upvote. Downvote.

    • 1 min
    • Sal Khan,Monterey Institute for Technology and Education
  2. A square root of a number is a value that, when multiplied by itself, gives the number. Example: 4 × 4 = 16, so a square root of 16 is 4. Note that (−4) × (−4) = 16 too, so −4 is also a square root of 16. The symbol is √ which always means the positive square root. Illustrated definition of Square Root: A square root of a number is a ...

  3. Definition. An extraneous root is a value reached for a variable in answer to a problem that is not an actual root of the equation. When you are solving a system of algebraic equations and come up with more than one solution (or multiple roots), some of those roots may not satisfy the equations. These are called extraneous roots!

  4. Recall that a square root1 of a number is a number that when multiplied by itself yields the original number. For example, 5 is a square root of 25, because 52 = 25. Since ( − 5)2 = 25, we can say that − 5 is a square root of 25 as well. Every positive real number has two square roots, one positive and one negative.

  5. This is the special symbol that means "square root", it is like a tick, and actually started hundreds of years ago as a dot with a flick upwards. It is called the radical, and always makes mathematics look important! We can use it like this: we say "square root of 9 equals 3"

  6. Yes, square roots can create 2 answers -- the positive (principal) root and the negative root. When you are working with square roots in an expression, you need to know which value you are expected to use. The default is the principal root. We only use the negative root when there is a minus in front of the radical. For example: 8 + sqrt (9) = 11.

    • 5 min
  7. the root of x, indicated above as "z," is the value, that when multiplied by itself a given number of times, equals x. The number of times that x needs to be multiplied by itself is given by n, so we use the term "n th root." The most commonly used roots are the square root (n = 2) and the cubed root (n = 3), though n can be any number.

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