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Square Roots

Finding the Side Length from the Area

Imagine a square where you know the area. If the area is 25, the side length is 5. This '5' is the square root of 25.

√

Examples

  • ・ A square with an area of 9 has a side length of 3. (√9 = 3)
  • ・ A square with an area of 16 has a side length of 4. (√16 = 4)

3 Points to Deepen Your Understanding

1. The Radical Symbol (√)

We use √ to represent square roots. √25 = 5.

2. Positive and Negative

Both 5 and -5 squared equal 25. Usually, √25 refers to the positive root (5).

3. Irrational Numbers

Some square roots, like √2, are decimals that cannot be expressed as fractions (approx. 1.414...).

Square Root Simulator

Side: 5.0Side: 5.0Area: 25

Quick Drill

Let's test your square root skills!

√16 = ?
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