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Square roots

Grade 8 · Math · Free lesson

Hey there! Today we are going to explore square roots, which are like math puzzles that work backward.

Have you ever built a square out of tiny tiles? A square root is simply finding the side length of a square when you already know its total area.

square root

Imagine a square made of 9 smaller tiles. Since 3 rows of 3 make 9, the side length is 3. We say the square root of 9 is 3.

Side = 3Area = 9

The symbol for square root is called a radical sign. When you see it, ask yourself: 'What number multiplied by itself gives me this value?'

16=4
✏️ Worked example

Find the square root of 25 using context clues and your knowledge of perfect squares.

  1. Identify the goal: We want to find a number that, when multiplied by itself, equals 25.
  2. Think about your multiplication facts for identical numbers.
  3. Test 4: 4 times 4 equals 16. This is too small.
  4. Test 5: 5 times 5 equals 25. This is our exact match!
  5. Write down the final answer: The square root of 25 is 5.
mathematics
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